This study aims to introduce the notions of injectivity, local reflexivity, exactness, and nuclearity in the system(Γ2c(·, ·), γ2c(·)). We find that every dual operator space is injective in the syst...This study aims to introduce the notions of injectivity, local reflexivity, exactness, and nuclearity in the system(Γ2c(·, ·), γ2c(·)). We find that every dual operator space is injective in the system(Γ2c(·, ·), γ2c(·)) and nuclearity is equivalent to exactness in this system. As a corollary, we prove that Kirchberg’s conjecture on the equivalence of exactness and local reflexivity for C*-algebras is false in this system, i.e., there exists a C*-algebra A that is locally reflexive in this system but is not exact in this system.展开更多
With the continuous development of society,the urban space has already met the basic functional needs of the people.As the crystallization of the ideology of mankind and the social development,the urban space exerts a...With the continuous development of society,the urban space has already met the basic functional needs of the people.As the crystallization of the ideology of mankind and the social development,the urban space exerts an effect on the people on both the material level and the spiritual level.The urban space inherits the urban culture and influences people’s feelings,and the proper narrative space can meet the increasing emotional needs.This paper analyzes the three formative factors of the urban narrative space—the temporal factor,the spatial factor and the diversified event factor,showing the readers a clearer narrative space and laying foundation for the further study on narrative space theory.展开更多
Nuclear matrix elements(NME) and phase space factors(PSF) entering the half-life formulas of the double-beta decay(DBD) process are two key quantities whose accurate computation still represents a challenge. In this s...Nuclear matrix elements(NME) and phase space factors(PSF) entering the half-life formulas of the double-beta decay(DBD) process are two key quantities whose accurate computation still represents a challenge. In this study, we propose a new approach of calculating these, namely the direct computation of their product as an unique formula. This procedure allows a more coherent treatment of the nuclear approximations and input parameters appearing in both quantities and avoids possible confusion in the interpretation of DBD data due to different individual expressions adopted for PSF and NME(and consequently their reporting in different units) by different authors. Our calculations are performed for both two neutrino(2 vββ) and neutrinoless(0 vββ) decay modes, for five nuclei of the most experimental interest. Further, using the most recent experimental limits for 0νββ decay half-lives,we provide new constraints on the light mass neutrino parameter. Finally, by separating the factor representing the axial-vector constant to the forth power in the half-life formulas, we advance suggestions on how to reduce the errors introduced in the calculation by the uncertain value of this constant, exploiting the DBD data obtained from different isotopes and/or decay modes.展开更多
In the present research, a factorial ecological approach using factor analysis was employed to evaluate the dimensionality of the urban social structure of the twin city: Ramallah and Al-Bireh, West Bank, the Palestin...In the present research, a factorial ecological approach using factor analysis was employed to evaluate the dimensionality of the urban social structure of the twin city: Ramallah and Al-Bireh, West Bank, the Palestinian Authority. Through factor analysis, the 41 variables were reduced to four factors with an eigenvalue > 1.0. These factors explain 77.07 percent of the total variables used in the study. Factor I contributes 28.419% of the total variance proportion of input variables, labeled as “family, housing, and public spaces factor”. Factor II accounts for 19.57% of the variance proportion, designated as” housing and urban public spaces”. Factor III is strongly correlated with variables referring to the characteristics of the head of the family, and the availability of public spaces, and thus, is designated as “head of the family and public spaces”. It explains 16.68% of the total variance. Finally, factor IV explains 12.406% of variance proportion, and is strongly associated with variables pertaining to a lack of public social spaces. Consequently, factor IV is termed “lack of public spaces”. The spatial distribution of factor scores related to factors I to IV was mapped using Arc GIS in order to analyze the spatial patterns of the recognized four factors. It is worth noting the factor IV, which refers to the lack of urban social space and, urban public space, which persists in the twin city, and will continue to persist in the future. The lack of urban open space and public social spaces is closely connected to migration, emerged housing pattern, and family status dimensions focused on factors I to III, continuous confiscation of the Palestinian lands, and the construction of Israeli settlements. Currently, the twin city is extremely overcrowded with stone/concrete buildings at the expense of public space which has declined continuously over the last three decades. Nevertheless, the analyzed spatial pattern of factor scores indicated the homogeneous character of the urban society of the twin city. Based on the urban eco-logical models which seek to characterize the Western, non-Western, Israeli, and Arab-oil producing (e.g., Kuwait) urban structures, it is difficult to elaborate a specific Palestinian urban ecological model with reference to the models developed elsewhere.展开更多
Let M be a σ-finite von Neumann algebra equipped with a normal faithful state φ, and let A be a maximal subdiagonal algebra of M. We proved a Szeg type factorization theorem for the Haagerup noncommutative H;-spaces.
Studying the agricultural spatial distribution characteristics of Jianghan Plain from 2000 to 2018 and its spatial-temporal transformation with ecological space and urban space is of great significance for optimizing ...Studying the agricultural spatial distribution characteristics of Jianghan Plain from 2000 to 2018 and its spatial-temporal transformation with ecological space and urban space is of great significance for optimizing the spatial structure of the country, enhancing the supply capacity of agricultural products, and ensuring food security. The research results show that during the period from 2000 to 2018, the agricultural spatial concentration in the area along the “Xiaogan-Jingzhou” link was relatively high, and the areas with large declines were mainly distributed in the flat areas between the Yangtze River and Han River;the space is continuously reduced by the occupation of ecological space and urban space, and ecological space and urban space have been improved respectively;agricultural space has been transformed into ecological space, and the largest urban space has been transformed. Ecological space has been transformed into agricultural space and urban space. Less urban space has been transformed into agricultural space and ecological space.展开更多
We consider plus-operators in Krein spaces and generated operator linear fractional relations of the following form: . We study some special type of factorization for plus-operators T, among them the following one: T ...We consider plus-operators in Krein spaces and generated operator linear fractional relations of the following form: . We study some special type of factorization for plus-operators T, among them the following one: T = BU, where B is a lower triangular plus-operator, U is a J-unitary operator. We apply the above factorization to the study of basical properties of relations (1), in particular, convexity and compactness of their images with respect to the weak operator topology. Obtained results we apply to the known Koenigs embedding problem, the Krein-Phillips problem of existing of invariant semidefinite subspaces for some families of plus-operators and to some other fields.展开更多
基金National Natural Science Foundation of China (Grant No. 11871423)。
文摘This study aims to introduce the notions of injectivity, local reflexivity, exactness, and nuclearity in the system(Γ2c(·, ·), γ2c(·)). We find that every dual operator space is injective in the system(Γ2c(·, ·), γ2c(·)) and nuclearity is equivalent to exactness in this system. As a corollary, we prove that Kirchberg’s conjecture on the equivalence of exactness and local reflexivity for C*-algebras is false in this system, i.e., there exists a C*-algebra A that is locally reflexive in this system but is not exact in this system.
基金the staged achievement of the national natural sciences funded program-Quantitative Study on the Historical Urban Narrative Environment System(51178465)
文摘With the continuous development of society,the urban space has already met the basic functional needs of the people.As the crystallization of the ideology of mankind and the social development,the urban space exerts an effect on the people on both the material level and the spiritual level.The urban space inherits the urban culture and influences people’s feelings,and the proper narrative space can meet the increasing emotional needs.This paper analyzes the three formative factors of the urban narrative space—the temporal factor,the spatial factor and the diversified event factor,showing the readers a clearer narrative space and laying foundation for the further study on narrative space theory.
基金Supported by Ministry of Research and Innovation through UEFISCDI,project PCE-2016-0078,contract 198/2017
文摘Nuclear matrix elements(NME) and phase space factors(PSF) entering the half-life formulas of the double-beta decay(DBD) process are two key quantities whose accurate computation still represents a challenge. In this study, we propose a new approach of calculating these, namely the direct computation of their product as an unique formula. This procedure allows a more coherent treatment of the nuclear approximations and input parameters appearing in both quantities and avoids possible confusion in the interpretation of DBD data due to different individual expressions adopted for PSF and NME(and consequently their reporting in different units) by different authors. Our calculations are performed for both two neutrino(2 vββ) and neutrinoless(0 vββ) decay modes, for five nuclei of the most experimental interest. Further, using the most recent experimental limits for 0νββ decay half-lives,we provide new constraints on the light mass neutrino parameter. Finally, by separating the factor representing the axial-vector constant to the forth power in the half-life formulas, we advance suggestions on how to reduce the errors introduced in the calculation by the uncertain value of this constant, exploiting the DBD data obtained from different isotopes and/or decay modes.
文摘In the present research, a factorial ecological approach using factor analysis was employed to evaluate the dimensionality of the urban social structure of the twin city: Ramallah and Al-Bireh, West Bank, the Palestinian Authority. Through factor analysis, the 41 variables were reduced to four factors with an eigenvalue > 1.0. These factors explain 77.07 percent of the total variables used in the study. Factor I contributes 28.419% of the total variance proportion of input variables, labeled as “family, housing, and public spaces factor”. Factor II accounts for 19.57% of the variance proportion, designated as” housing and urban public spaces”. Factor III is strongly correlated with variables referring to the characteristics of the head of the family, and the availability of public spaces, and thus, is designated as “head of the family and public spaces”. It explains 16.68% of the total variance. Finally, factor IV explains 12.406% of variance proportion, and is strongly associated with variables pertaining to a lack of public social spaces. Consequently, factor IV is termed “lack of public spaces”. The spatial distribution of factor scores related to factors I to IV was mapped using Arc GIS in order to analyze the spatial patterns of the recognized four factors. It is worth noting the factor IV, which refers to the lack of urban social space and, urban public space, which persists in the twin city, and will continue to persist in the future. The lack of urban open space and public social spaces is closely connected to migration, emerged housing pattern, and family status dimensions focused on factors I to III, continuous confiscation of the Palestinian lands, and the construction of Israeli settlements. Currently, the twin city is extremely overcrowded with stone/concrete buildings at the expense of public space which has declined continuously over the last three decades. Nevertheless, the analyzed spatial pattern of factor scores indicated the homogeneous character of the urban society of the twin city. Based on the urban eco-logical models which seek to characterize the Western, non-Western, Israeli, and Arab-oil producing (e.g., Kuwait) urban structures, it is difficult to elaborate a specific Palestinian urban ecological model with reference to the models developed elsewhere.
文摘Let M be a σ-finite von Neumann algebra equipped with a normal faithful state φ, and let A be a maximal subdiagonal algebra of M. We proved a Szeg type factorization theorem for the Haagerup noncommutative H;-spaces.
文摘Studying the agricultural spatial distribution characteristics of Jianghan Plain from 2000 to 2018 and its spatial-temporal transformation with ecological space and urban space is of great significance for optimizing the spatial structure of the country, enhancing the supply capacity of agricultural products, and ensuring food security. The research results show that during the period from 2000 to 2018, the agricultural spatial concentration in the area along the “Xiaogan-Jingzhou” link was relatively high, and the areas with large declines were mainly distributed in the flat areas between the Yangtze River and Han River;the space is continuously reduced by the occupation of ecological space and urban space, and ecological space and urban space have been improved respectively;agricultural space has been transformed into ecological space, and the largest urban space has been transformed. Ecological space has been transformed into agricultural space and urban space. Less urban space has been transformed into agricultural space and ecological space.
文摘We consider plus-operators in Krein spaces and generated operator linear fractional relations of the following form: . We study some special type of factorization for plus-operators T, among them the following one: T = BU, where B is a lower triangular plus-operator, U is a J-unitary operator. We apply the above factorization to the study of basical properties of relations (1), in particular, convexity and compactness of their images with respect to the weak operator topology. Obtained results we apply to the known Koenigs embedding problem, the Krein-Phillips problem of existing of invariant semidefinite subspaces for some families of plus-operators and to some other fields.
