Work version of : existence of a translation invariant measure on $l^{\infty}$

TL;DR

This paper proves the existence of a translation-invariant, non-null, locally finite measure on the space l^{ty}, contributing to the understanding of measures on infinite-dimensional spaces.

Contribution

It establishes the existence of a translation-invariant measure on l^{ty}, a significant result in infinite-dimensional measure theory.

Findings

Existence of a non-null, locally finite, translation-invariant measure on l^{ty}.

Advances understanding of measure invariance in infinite-dimensional spaces.

Abstract

We show the existence of a non-null locally finite measure on $l^{\infty}$ which is invariant by translations.