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

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...

Refinements of the Hermite–Hadamard inequality in NPC global spaces

In this paper we establish different refinements and applications of the Hermite–Hadamard inequality for convex functions in the context of NPC global spaces.

Infinite towers of Galois defect extensions of Kaplansky fields

We give conditions for Kaplansky fields to admit infinite towers of Galois defect extensions of prime degree. As proofs of the presented facts are constructive, this provides examples of constructions of infinite towers...

Wild primes of a higher degree self-equivalence of a number field

Let $\mathcal{l} > 2$ be a prime number. Let $K$ be a number field containing a unique $\mathcal{l}$-adic prime and assume that its class is an $\mathcal{l}$th power in the class group $C_K$. The main theorem of the pape...

Some new Ostrowski’s inequalities for functions whose nth derivatives are logarithmically convex

Some new Ostrowski’s inequalities for functions whose n-th derivative are logarithmically convex are established.

Download PDF file
  • EP ID EP291499
  • DOI 10.1515/amsil-2016-0014
  • Views 138
  • Downloads 0

How To Cite

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