<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Characterizations of Rotundity and Smoothness by Approximate Orthogonalities

Institute of Mathematics, Pedagogical University of Cracow, Podchorążych 2, 30-084 Kraków,

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Characterizations of Rotundity and Smoothness by Approximate Orthogonalities"}

In this paper we consider the approximate orthogonalities in real normed spaces. Using the notion of approximate orthogonalities in real normed spaces, we...

Characterizations of Rotundity and Smoothness by Approximate Orthogonalities

Published Online: Sep 23, 2016

Page range: 193 - 201

Received: Mar 01, 2016

Accepted: Jun 08, 2016

DOI: https://doi.org/10.1515/amsil-2016-0011

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

© 2016 Tomasz Stypuła et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Characterizations of Rotundity and Smoothness by Approximate Orthogonalities

Published Online: Sep 23, 2016

Page range: 193 - 201

Received: Mar 01, 2016

Accepted: Jun 08, 2016

DOI: https://doi.org/10.1515/amsil-2016-0011

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

© 2016 Tomasz Stypuła et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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