Invariant means on Banach spaces

Journal Title: Annales Mathematicae Silesianae - Year 2017, Vol 31, Issue

Abstract

In this paper we study some generalization of invariant means on Banach spaces. We give some sufficient condition for the existence of the invariant mean and some examples where we have not it.

Authors and Affiliations

Radosław Łukasik

Keywords

Related Articles

On the continuous dependence of solutions to orthogonal additivity problem on given functions

We show that the solution to the orthogonal additivity problem in real inner product spaces depends continuously on the given function and provide an application of this fact.

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...

A simple proof of the Polar Decomposition Theorem

In this expository paper, we present a new and easier proof of the Polar Decomposition Theorem. Unlike in classical proofs, we do not use the square root of a positive matrix. The presented proof is accessible to a broad...

Linear dependence of powers of linear forms

The main goal of the paper is to examine the dimension of the vector space spanned by powers of linear forms. We also find a lower bound for the number of summands in the presentation of zero form as a sum of d-th powers...

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...

Download PDF file
  • EP ID EP291499
  • DOI 10.1515/amsil-2016-0014
  • Views 131
  • Downloads 0

How To Cite

Radosław Łukasik (2017). Invariant means on Banach spaces. Annales Mathematicae Silesianae, 31(), 127-140. https://europub.co.uk/articles/-A-291499