Characterizations of rotundity and smoothness by approximate orthogonalities
Journal Title: Annales Mathematicae Silesianae - Year 2016, Vol 30, Issue
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.
Authors and Affiliations
Tomasz Stypuła, Paweł Wójcik
Keywords
Related Articles
- EP ID EP230430
- DOI 10.1515/amsil-2016-0011
- Views 117
- Downloads 0
On Popoviciu-Ionescu functional equation
We study a functional equation first proposed by T. Popoviciu [15] in 1955. It was solved for the easiest case by Ionescu [9] in 1956 and, for the general case, by Ghiorcoiasiu and Roscau [7] and Radó [17] in 1962. Our s...
Complementary results to Heuvers’s characterization of logarithmic functions
Based on a characterization of logarithmic functions due to Heuvers we develop analogous results for multiplicative, exponential and additive functions, respectively.
An extension of a Ger’s result
The aim of this paper is to extend a result presented by Roman Ger during the 15th International Conference on Functional Equations and Inequalities. First, we present some necessary and sufficient conditions for a conti...
Generalizations of some integral inequalities for fractional integrals
In this paper we give generalizations of the Hadamard-type inequalities for fractional integrals. As special cases we derive several Hadamard type inequalities.
An application of the theory of scale of Banach spaces
The abstract Cauchy problem on scales of Banach space was considered by many authors. The goal of this paper is to show that the choice of the space on scale is significant. We prove a theorem that the selection of the s...