Characterizations of Rotundity and Smoothness by Approximate Orthogonalities

Tomasz Stypuła; Paweł Wójcik

Annales Mathematicae Silesianae (2016)

  • Volume: 30, Issue: 1, page 193-201
  • ISSN: 0860-2107

Abstract

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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.

How to cite

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Tomasz Stypuła, and Paweł Wójcik. "Characterizations of Rotundity and Smoothness by Approximate Orthogonalities." Annales Mathematicae Silesianae 30.1 (2016): 193-201. <http://eudml.org/doc/286742>.

@article{TomaszStypuła2016,
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.},
author = {Tomasz Stypuła, Paweł Wójcik},
journal = {Annales Mathematicae Silesianae},
keywords = {approximate orthogonality; rotundity; smoothness; dual space; norm derivatives},
language = {eng},
number = {1},
pages = {193-201},
title = {Characterizations of Rotundity and Smoothness by Approximate Orthogonalities},
url = {http://eudml.org/doc/286742},
volume = {30},
year = {2016},
}

TY - JOUR
AU - Tomasz Stypuła
AU - Paweł Wójcik
TI - Characterizations of Rotundity and Smoothness by Approximate Orthogonalities
JO - Annales Mathematicae Silesianae
PY - 2016
VL - 30
IS - 1
SP - 193
EP - 201
AB - 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.
LA - eng
KW - approximate orthogonality; rotundity; smoothness; dual space; norm derivatives
UR - http://eudml.org/doc/286742
ER -

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