Duality theory for generalized summing linear operators

TL;DR

This paper extends the duality theory for a broad class of Banach operator ideals related to vector-valued sequence transformations, generalizing classical absolutely summing operators.

Contribution

It introduces a duality characterization for generalized summing linear operators within Banach operator ideals, broadening the scope of classical results.

Findings

Provides a duality framework for generalized summing operators

Characterizes duals of large classes of Banach operator ideals

Extends classical results to more general operator classes

Abstract

Generalizing classical results of the theory of absolutely summing operators, in this paper we characterize the duals of a quite large class of Banach operator ideals defined or characterized by the transformation of vector-valued sequences.