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153629

SPECIAL OPERATORS ONTO SOME HYPERPLANES OF THE BANACH SPACE ʃ1n

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Last updated: 05 Jan 2025

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Abstract

In this paper, we showed that the space ʃ1n contains hyperplanes Y with maximal but better relative projection constants than that given before. Use geometry to construct the exact minimal norm projection from ʃ1n onto Y, and a positive answer to the question in a finite-dimensional Banach space X with dimension n, is their hyperplane with the greatest exact relative projection constants 2-  ?.

DOI

10.21608/djs.2006.153629

Authors

First Name

E.

Last Name

Shobaky

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Affiliation

Department of Mathematics, Faculty of Science, Ain shams University, Cairo, Egypt.

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First Name

Mohammed

Last Name

Ali

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Affiliation

Department of Mathematics, Faculty of Science, Ain shams University, Cairo, Egypt.

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Volume

30

Article Issue

1

Related Issue

22544

Issue Date

2006-06-01

Receive Date

2021-03-04

Publish Date

2006-06-01

Page Start

1

Page End

5

Print ISSN

1012-5965

Online ISSN

2735-5306

Article File

DJS_Volume 30_Issue 1_Pages 1-5.pdf

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https://djs.journals.ekb.eg/article_153629.html

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https://djs.journals.ekb.eg/service?article_code=153629

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Research and Reference

Type Code

1,686

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Journal

Publication Title

Delta Journal of Science

Publication Link

https://djs.journals.ekb.eg/

MainTitle

SPECIAL OPERATORS ONTO SOME HYPERPLANES OF THE BANACH SPACE ʃ1n

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Article

Created At

23 Jan 2023