A weaker gleason-kahane-zelazko theorem for modules and applications to hardy spaces

Sebastian, G. and Daniel, S. (2021) A weaker gleason-kahane-zelazko theorem for modules and applications to hardy spaces. Colloquium Mathematicum, 164 (2). pp. 273-282. ISSN 00101354

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Abstract

Let A be a complex unital Banach algebra and M be a left A-module. Let Ʌ: M→ℂ be a map that is not necessarily linear. We establish conditions for Ʌ to be linear and of multiplicative kind, from its behavior on a small subset of M. We do not assume Ʌ to be continuous throughout. As an application, we give a characterization of weighted composition operators on the Hardy space H.

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IITH Creators:	IITH Creators ORCiD Daniel, Daniel S. https://orcid.org/0000-0002-3112-6752
Item Type:	Article
Uncontrolled Keywords:	Banach module, Hardy space, Outer function
Subjects:	Mathematics
Divisions:	Department of Mathematics
Depositing User:	Mrs Haseena VKKM
Date Deposited:	09 Nov 2021 09:43
Last Modified:	09 Nov 2021 09:43
URI:	http://raiithold.iith.ac.in/id/eprint/8892
Publisher URL:	http://www.impan.pl/get/doi/10.4064/cm8015-9-2019
OA policy:	https://v2.sherpa.ac.uk/id/publication/14741
Related URLs:	Author

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