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
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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