Given a compact and regular Hausdorff measure space (X, μ), with μ a Radon measure, it is known that the generalised space M(X) of all the positive Radon measures on X is isomorphic to the space of essentially bound...Given a compact and regular Hausdorff measure space (X, μ), with μ a Radon measure, it is known that the generalised space M(X) of all the positive Radon measures on X is isomorphic to the space of essentially bounded functions L<sup>∞</sup>(X, μ) on X. We confirm that the commutative von Neumann algebras M⊂B(H), with H=L<sup>2</sup>(X, μ), are unitary equivariant to the maximal ideals of the commutative algebra C(X). Subsequenly, we use the measure groupoid to formulate the algebraic and topological structures of the commutative algebra C(X) following its action on M(X) and define its representation and ergodic dynamical system on the commutative von Neumann algebras of M of B(H) .展开更多
According to the contributions coming from different fields of research-from aesthetics to cognitive science-the paper intends to address the topic of urban transformation within the framework of the concept of “affe...According to the contributions coming from different fields of research-from aesthetics to cognitive science-the paper intends to address the topic of urban transformation within the framework of the concept of “affective space”, which associates the emotions with all stimuli both internal to the agent and within its environment. The central research question will be： what is the influence of the affective sphere on changes that take place in the city and vice versa how much do these changes affect the emotional sphere？ By placing subjects at the center of the research, the paper intends to study the relationship between individuals-as well as groups and communities-and urban spaces they inhabit. This can be done by guaranteeing centrality to the pre-reflective emotional impact that spatial situations produce on subjects, where for “spatial situation” it is intended the inclusive description of a specific condition, including both the material articulation of space and its intangible qualities that influence the subject’s emotional sphere.展开更多
The purpose of this paper is to study mean ergodic theorems concerning continuous or positive operators taking values in Jordan-Banach weak algebras and Jordan C＊-algebras, making use the topological and order struct...The purpose of this paper is to study mean ergodic theorems concerning continuous or positive operators taking values in Jordan-Banach weak algebras and Jordan C＊-algebras, making use the topological and order structures of the corresponding spaces. The results are obtained applying or extending previous classical results and methods of Ayupov, Carath6odory, Cohen, Eberlein, Kakutani and Yosida. Moreover, this results can be applied to continious or positive operators appearing in diffusion theory, quantum mechanics and quantum 13robabilitv theory.展开更多
文摘Given a compact and regular Hausdorff measure space (X, μ), with μ a Radon measure, it is known that the generalised space M(X) of all the positive Radon measures on X is isomorphic to the space of essentially bounded functions L<sup>∞</sup>(X, μ) on X. We confirm that the commutative von Neumann algebras M⊂B(H), with H=L<sup>2</sup>(X, μ), are unitary equivariant to the maximal ideals of the commutative algebra C(X). Subsequenly, we use the measure groupoid to formulate the algebraic and topological structures of the commutative algebra C(X) following its action on M(X) and define its representation and ergodic dynamical system on the commutative von Neumann algebras of M of B(H) .
文摘According to the contributions coming from different fields of research-from aesthetics to cognitive science-the paper intends to address the topic of urban transformation within the framework of the concept of “affective space”, which associates the emotions with all stimuli both internal to the agent and within its environment. The central research question will be： what is the influence of the affective sphere on changes that take place in the city and vice versa how much do these changes affect the emotional sphere？ By placing subjects at the center of the research, the paper intends to study the relationship between individuals-as well as groups and communities-and urban spaces they inhabit. This can be done by guaranteeing centrality to the pre-reflective emotional impact that spatial situations produce on subjects, where for “spatial situation” it is intended the inclusive description of a specific condition, including both the material articulation of space and its intangible qualities that influence the subject’s emotional sphere.
文摘The purpose of this paper is to study mean ergodic theorems concerning continuous or positive operators taking values in Jordan-Banach weak algebras and Jordan C＊-algebras, making use the topological and order structures of the corresponding spaces. The results are obtained applying or extending previous classical results and methods of Ayupov, Carath6odory, Cohen, Eberlein, Kakutani and Yosida. Moreover, this results can be applied to continious or positive operators appearing in diffusion theory, quantum mechanics and quantum 13robabilitv theory.
