Quantitative Factorization of weakly compact, Rosenthal, and $\xi$-Banach-Saks operators

TL;DR

This paper establishes quantitative factorization results for various classes of operators, such as weakly compact, Rosenthal, and -Banach-Saks operators, advancing the understanding of their structural properties.

Contribution

It introduces new quantitative factorization theorems for weakly compact, Rosenthal, and -Banach-Saks operators, expanding existing operator theory.

Findings

Proves new quantitative factorization results for weakly compact operators.

Establishes factorization results for Rosenthal operators.

Extends factorization techniques to -Banach-Saks operators.

Abstract

We prove quantitative factorization results for several classes of operators, including weakly compact, Rosenthal, and $\xi$-Banach-Saks operators.