UConvex Coefficient of Banach Space
The spatial geometric constant is the quantification of the geometrical properties of space From the study of geometric properties to the calculation of geometric constants from qualitative to quantitative advancement Firstly, this paper introduces a new geometric constant Uconvex coefficient Studyi...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2020-10-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1883 |
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| _version_ | 1849398065437343744 |
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| author | WANG Jing CUI Yunan |
| author_facet | WANG Jing CUI Yunan |
| author_sort | WANG Jing |
| collection | DOAJ |
| description | The spatial geometric constant is the quantification of the geometrical properties of space From the study of geometric properties to the calculation of geometric constants from qualitative to quantitative advancement Firstly, this paper introduces a new geometric constant Uconvex coefficient Studying its relationship with geometric properties such as uniform nonsquare and regular structures and by studying its relationship with constants, the Banach space is weakly close to uniform smooth and has fixed point properties Secondly, Using the relationship between it and weak orthogonal coefficients gives a sufficient condition for Banach spaces to have a regular structure Finally, the calculation of the convex model in the sequence space is given |
| format | Article |
| id | doaj-art-03ce3bbf8da6441a89bc78ce928fe230 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2020-10-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-03ce3bbf8da6441a89bc78ce928fe2302025-08-20T03:38:44ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832020-10-01250515816310.15938/j.jhust.2020.05.022UConvex Coefficient of Banach SpaceWANG Jing0CUI Yunan1School of Applied Sciences,Harbin University of Science and Technology,Harbin 150080,ChinaSchool of Applied Sciences,Harbin University of Science and Technology,Harbin 150080,ChinaThe spatial geometric constant is the quantification of the geometrical properties of space From the study of geometric properties to the calculation of geometric constants from qualitative to quantitative advancement Firstly, this paper introduces a new geometric constant Uconvex coefficient Studying its relationship with geometric properties such as uniform nonsquare and regular structures and by studying its relationship with constants, the Banach space is weakly close to uniform smooth and has fixed point properties Secondly, Using the relationship between it and weak orthogonal coefficients gives a sufficient condition for Banach spaces to have a regular structure Finally, the calculation of the convex model in the sequence space is givenhttps://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1883uconvex coefficientbanach spaceuniform nonsquarenormal structureweak orthogonal coefficientgarciafalset coefficientfixed point properties |
| spellingShingle | WANG Jing CUI Yunan UConvex Coefficient of Banach Space Journal of Harbin University of Science and Technology uconvex coefficient banach space uniform nonsquare normal structure weak orthogonal coefficient garciafalset coefficient fixed point properties |
| title | UConvex Coefficient of Banach Space |
| title_full | UConvex Coefficient of Banach Space |
| title_fullStr | UConvex Coefficient of Banach Space |
| title_full_unstemmed | UConvex Coefficient of Banach Space |
| title_short | UConvex Coefficient of Banach Space |
| title_sort | uconvex coefficient of banach space |
| topic | uconvex coefficient banach space uniform nonsquare normal structure weak orthogonal coefficient garciafalset coefficient fixed point properties |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1883 |
| work_keys_str_mv | AT wangjing uconvexcoefficientofbanachspace AT cuiyunan uconvexcoefficientofbanachspace |