New inclusion and coincidence theorems for summing multilinear mappings
G. Botelho, C. Michels, D. Pellegrino
TL;DR
This paper introduces new theorems related to summing multilinear mappings, focusing on inclusion and coincidence properties, and establishes optimal results for multilinear forms on specific Banach spaces.
Contribution
It presents novel inclusion and coincidence theorems for summing multilinear mappings, including optimal Bohnenblust-Hille type results for K-convex Banach spaces of cotype 2.
Findings
New inclusion and coincidence theorems for multilinear mappings
Optimal Bohnenblust-Hille type theorems for K-convex Banach spaces of cotype 2
Advances understanding of summing properties in multilinear analysis
Abstract
In this paper we obtain new inclusion and coincidence theorems for absolutely or multiple summing multilinear mappings. In particular, we derive optimal coincidence theorems of Bohnenblust-Hille type for multilinear forms on K-convex Banach spaces of cotype 2.
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Taxonomy
TopicsAdvanced Banach Space Theory · Optimization and Variational Analysis · Advanced Topics in Algebra