Geometric Properties of Generalized Von Neumann Constant

Spatial geometric constant is a quantization of the properties of spatial geometry. In order to further apply the geometric constant to study the geometry of the Banach space, a new generalized von Neumann constant is introduced. We give the continuity, symmetry, boundedness and the equivalent fo...

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Bibliographic Details
Main Authors: ZHAO Liang, ZHAO Pingan
Format: Article
Language:Chinese
Published: Harbin University of Science and Technology Publications 2023-08-01
Series:Journal of Harbin University of Science and Technology
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Online Access:https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2243
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Summary:Spatial geometric constant is a quantization of the properties of spatial geometry. In order to further apply the geometric constant to study the geometry of the Banach space, a new generalized von Neumann constant is introduced. We give the continuity, symmetry, boundedness and the equivalent form of the generalized von Neumann constant, and judge the consistent non-square of the Banach space, and give the calculation formula or valuation of several special Banach space with two examples.
ISSN:1007-2683