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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Factorization of functions in the Schur-Agler class related to test functions
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by Mainak Bhowmik and Poornendu Kumar;
Proc. Amer. Math. Soc. 152 (2024), 3991-4001
DOI: https://doi.org/10.1090/proc/16900
Published electronically: July 29, 2024

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.
References
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Bibliographic Information
  • Mainak Bhowmik
  • Affiliation: Department of Mathematics, Indian Institute of Science, Bangalore 560012, India
  • ORCID: 0000-0002-0628-0459
  • Email: mainakb@iisc.ac.in
  • Poornendu Kumar
  • Affiliation: Department of Mathematics, University of Manitoba, Winnipeg, R3T 2N2, Canada
  • MR Author ID: 1499593
  • ORCID: 0000-0001-9781-3654
  • Email: poornendu.kumar@umanitoba.ca, Poornendukumar@gmail.com
  • Received by editor(s): November 19, 2023
  • Received by editor(s) in revised form: April 5, 2024
  • Published electronically: July 29, 2024
  • Additional Notes: The first author’s work was supported by the Prime Minister’s Research Fellowship PMRF-21-1274.03 and the second author was partially supported by a PIMS postdoctoral fellowship.
    The second author is the corresponding author.
  • Communicated by: Javad Mashreghi
  • © Copyright 2024 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 152 (2024), 3991-4001
  • MSC (2020): Primary 47A48, 47A68, 47A56, 32A38
  • DOI: https://doi.org/10.1090/proc/16900
  • MathSciNet review: 4781990