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Published: 2016-09-23
Vol. 30 (2016)

Characterizations of rotundity and smoothness by approximate orthogonalities

Tomasz Stypuła , Paweł Wójcik

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.

Keywords:

approximate orthogonality , rotundity , smoothness , dual space , norm derivatives

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Citation rules

Stypuła, T., & Wójcik, P. (2016). Characterizations of rotundity and smoothness by approximate orthogonalities. Annales Mathematicae Silesianae, 30, 193–201. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13963

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Domyślna okładka

Vol. 30 (2016)
Published: 2016-09-23

ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.2478/amsil
Publisher
University of Silesia Press
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