Absolutely \gamma-Summing Multilinear Operators
Diana Marcela Serrano-Rodr\'iguez
TL;DR
This paper introduces a unified abstract framework for absolutely summing multilinear operators, encompassing various existing concepts like Cohen summing and almost summing, thus generalizing previous results.
Contribution
It presents a novel abstract approach that unifies multiple types of summing multilinear operators under a single theoretical framework.
Findings
Generalizes previous results on summing operators
Unifies various summing concepts into one framework
Provides new insights into multilinear operator theory
Abstract
In this paper we introduce an abstract approach to the notion of absolutely summing multilinear operators. We show that several previous results on different contexts (absolutely summing, almost summing, Cohen summing) are particular cases of our general results.
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Taxonomy
TopicsAdvanced Banach Space Theory · Approximation Theory and Sequence Spaces · Holomorphic and Operator Theory