Complementary results to Heuvers’s characterization of logarithmic functions
Journal Title: Annales Mathematicae Silesianae - Year 2017, Vol 31, Issue
Abstract
Based on a characterization of logarithmic functions due to Heuvers we develop analogous results for multiplicative, exponential and additive functions, respectively.
Authors and Affiliations
Martin Himmel
Keywords
Related Articles
- EP ID EP291474
- DOI 10.1515/amsil-2017-0001
- Views 140
- Downloads 0
Strong unique ergodicity of random dynamical systems on Polish spaces
In this paper we want to show the existence of a form of asymptotic stability of random dynamical systems in the sense of L. Arnold using arguments analogous to those presented by T. Szarek in [6], that is showing it usi...
Properties and characterizations of convex functions on time scales
In this research we deal with algebraic properties and characterizations of convex functions in the context of a time scale; this notion of convexity has been studied for some other authors but the setting of properties...
Reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces
Some reverse Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces are provided. Applications for some convex functions of interest and reverses of Hölder and Schwarz trace ineq...
Communication complexity and linearly ordered sets
The paper is devoted to the communication complexity of lattice operations in linearly ordered finite sets. All well known techniques ([4, Chapter 1]) to determine the communication complexity of the infimum function in...
On orthogonally additive functions with big graphs
Let $E$ be a separable real inner product space of dimension at least 2 and $V$ be a metrizable and separable linear topological space. We show that the set of all orthogonally additive functions mapping $E$ into $V$ and...