Absolutely Summing Morphisms between Hilbert C*-Modules and Modular Pietsch Factorization Problem
Functional Analysis
2023-02-09 v1 Operator Algebras
Abstract
Motivated from the theory of Hilbert-Schmidt morphisms between Hilbert C*-modules over commutative C*-algebras by Stern and van Suijlekom \textit{[J. Funct. Anal., 2021]}, we introduce the notion of p-absolutely summing morphisms between Hilbert C*-modules over commutative C*-algebras. We show that an adjointable morphism between Hilbert C*-modules over monotone closed commutative C*-algebra is 2-absolutely summing if and only if it is Hilbert-Schmidt. We formulate version of Pietsch factorization problem for p-absolutely summing morphisms and solve partially
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Cite
@article{arxiv.2302.03718,
title = {Absolutely Summing Morphisms between Hilbert C*-Modules and Modular Pietsch Factorization Problem},
author = {K. Mahesh Krishna},
journal= {arXiv preprint arXiv:2302.03718},
year = {2023}
}
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10 Pages, 0 Figures