Absolutely summing multipolynomials
T. Velanga
TL;DR
This paper develops a comprehensive theory of absolutely summing multipolynomials, extending previous work on polynomials and multilinear mappings in Banach spaces with unconditional bases.
Contribution
It generalizes and unifies existing theories of absolutely summing polynomials and multilinear mappings in Banach spaces.
Findings
Generalized the concept of absolutely summing multipolynomials
Unified previous theories on polynomials and multilinear mappings
Extended results to Banach spaces with unconditional Schauder bases
Abstract
In this paper, we develop the theory of absolutely summing multipolynomials. Among other results, we generalize and unify previous works of G. Botelho and D. Pellegrino concerning absolutely summing polynomials/multilinear mappings in Banach spaces with unconditional Schauder basis.
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Taxonomy
TopicsAdvanced Banach Space Theory · Approximation Theory and Sequence Spaces · Optimization and Variational Analysis