Characterizations of Rotundity and Smoothness by Approximate Orthogonalities
and
Sep 23, 2016
About this article
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
© 2016 Tomasz Stypuła et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.