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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Main Authors: | , |
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Format: | Article |
Language: | Chinese |
Published: |
Harbin University of Science and Technology Publications
2023-08-01
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Series: | Journal of Harbin University of Science and Technology |
Subjects: | |
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. |
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ISSN: | 1007-2683 |