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The Related Properties of Generalized Orthogonal Group in Specific Normed Linear Spaces
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作者 Siyuan Wu 《Journal of Applied Mathematics and Physics》 2022年第1期1-10,共10页
Firstly, in the general normed linear space, the concepts of generalized isosceles orthogonal group, generalized Birkhoff orthogonal group, generalized Roberts orthogonal group, strong Birkhoff orthogonal group and ge... Firstly, in the general normed linear space, the concepts of generalized isosceles orthogonal group, generalized Birkhoff orthogonal group, generalized Roberts orthogonal group, strong Birkhoff orthogonal group and generalized orthogonal basis are introduced. Secondly, the conclusion that any two nonzero generalized orthogonal groups must be linearly independent group is proven. And the existence of nonzero generalized orthogonal group and its linear correlation are discussed preliminarily, as well as some related properties of nonempty generalized orthogonal group in specific normed linear space namely the <em>l<sub>p</sub></em> space. 展开更多
关键词 normed linear space Generalized Orthogonal Group Generalized Birkhoff Orthogonal Group Generalized Isosceles Orthogonal Group Generalized Roberts Orthogonal Group
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CHEBYSHEV CENTERS PROXIMINALITY AND FARTHEST POINTS IN STRONG NORMED ALMOST LINEAR SPACES
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作者 Geetha S. Rao T. L. Bhaskaramurthi 《Analysis in Theory and Applications》 1997年第4期99-111,共13页
Some results from the theory of best (or best simultaneous) approximation in a narmed linear space have been extended to a normed almost linear space [strong normed almost linear space].
关键词 CHEBYSHEV CENTERS PROXIMINALITY AND FARTHEST POINTS IN STRONG normed ALMOST linear spaceS
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Angles of Norm ed Linear Spaces and Characterizations of Inner Product Spaces
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作者 郑永爱 《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第1期70-73, ,共4页
In [1],a family of angles are defined in normed linear spaces. In this paper,it is shown that if anyone of the angles satisfies certain euclidean triangle congruence properties,the space must be an inner product space.
关键词 ANGLE normed linear space inner product space ORTHOGONALITY
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Modified Ishikawa Iterative Process with Errors in Normed Linear Spaces
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作者 姚永红 陈汝栋 周海云 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2007年第2期298-306,共9页
Ishikawa iterative sequences with errors different from the iterative sequences introduced by Liu and Xu are given. Moreover, the problem of approximating the fixed points of (ψ)-hemicontractive mapping in normed l... Ishikawa iterative sequences with errors different from the iterative sequences introduced by Liu and Xu are given. Moreover, the problem of approximating the fixed points of (ψ)-hemicontractive mapping in normed linear spaces by the modified Ishikawa iterative sequences with errors is investigated. The results presented in this paper improve and extend the results of the others. 展开更多
关键词 (ψ)-hemicontractive mapping modified Ishikawa iterative sequences with errors fixed point normed linear spaces.
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Inner Product and Norm
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作者 赵舜仁 《Chinese Quarterly Journal of Mathematics》 CSCD 2000年第3期39-43,共5页
In this paper,we give some new equivalent forms of the norm in inner produt space.
关键词 normed linear space immerproduct space NOR
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