Characterizations of Rotundity and Smoothness by Approximate Orthogonalities

Stypuła, Tomasz; Wójcik, Paweł

doi:10.1515/amsil-2016-0011

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Characterizations of Rotundity and Smoothness by Approximate Orthogonalities

Annales Mathematicae Silesianae

Volume 30 (2016): Issue 1 (September 2016)

By: Tomasz Stypuła and Paweł Wójcik

Open Access

|Sep 2016

Abstract

In this paper we consider the approximate orthogonalities in real normed spaces. Using the notion of approximate orthogonalities in real normed spaces, we provide some new characterizations of rotundity and smoothness of dual spaces.

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DOI: https://doi.org/10.1515/amsil-2016-0011 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 193 - 201

Submitted on: Mar 1, 2016

Accepted on: Jun 8, 2016

Published on: Sep 23, 2016

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

approximate orthogonality,

Related subjects:

© 2016 Tomasz Stypuła, Paweł Wójcik, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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