When every multilinear mapping is multiple summing
Geraldo Botelho, Daniel Pellegrino
TL;DR
This paper provides a systematic framework for understanding when multilinear mappings are multiple summing, extending previous results and simplifying proofs in the field.
Contribution
It introduces a unified approach to coincidence situations for multiple summing multilinear mappings, generalizing and simplifying existing methods.
Findings
New coincidence results for multiple summing multilinear mappings
Simplified proofs of known theorems in the area
Extension of existing theories to broader cases
Abstract
In this paper we give a systematized treatment to some coincidence situations for multiple summing multilinear mappings which extend, generalize and simplify the methods and results obtained thus far. The application of our general results to the pertinent particular cases gives several new coincidences as well as easier proofs of some known results.
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Taxonomy
TopicsAdvanced Banach Space Theory · Approximation Theory and Sequence Spaces · Fixed Point Theorems Analysis