Factorization of functions in the Schur-Agler class related to test functions
Mainak Bhowmik, Poornendu Kumar
TL;DR
This paper establishes criteria for when operator-valued functions related to test functions can be factorized, advancing understanding in the Schur-Agler class and its applications.
Contribution
It offers necessary and sufficient conditions for factorizations of operator-valued functions associated with test functions in the Schur-Agler class.
Findings
Derived conditions for function factorizations
Applied results to operator-valued functions
Enhanced understanding of the Schur-Agler class
Abstract
We provide necessary and sufficient conditions for operator-valued functions on arbitrary sets associated with a collection of test functions to have factorizations in several situations.
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Taxonomy
TopicsMathematical functions and polynomials · Holomorphic and Operator Theory · Analytic and geometric function theory