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.
@article{bwmeta1.element.doi-10_1515_amsil-2016-0011, author = {Tomasz Stypu\l a and Pawe\l\ W\'ojcik}, title = {Characterizations of Rotundity and Smoothness by Approximate Orthogonalities}, journal = {Annales Mathematicae Silesianae}, volume = {30}, year = {2016}, pages = {193-201}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0011} }
Tomasz Stypuła; Paweł Wójcik. Characterizations of Rotundity and Smoothness by Approximate Orthogonalities. Annales Mathematicae Silesianae, Tome 30 (2016) pp. 193-201. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_amsil-2016-0011/