The weak Banach-Saks property for function spaces

TL;DR

This paper proves that certain function spaces, defined as the optimal domain of an operator, possess the weak Banach-Saks property, enhancing understanding of their geometric structure.

Contribution

It introduces the weak Banach-Saks property for a class of function spaces as the optimal domain of an operator, which was not previously established.

Findings

Function spaces as optimal domains have the weak Banach-Saks property

The result extends known properties to new classes of function spaces

Provides a framework for analyzing geometric properties of operator-related spaces

Abstract

We establish the weak Banach-Saks property for function spaces arising as the optimal domain of an operator.