Borel functional calculus for quaternionic normal operators

Ramesh, G and Santhosh Kumar, P (2017) Borel functional calculus for quaternionic normal operators. Journal of Mathematical Physics, 58 (5). 053501. ISSN 0022-2488

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Abstract

In this article, we give an approach to Borel functional calculus for quaternionic normal operators, which are not necessarily bounded. First, we establish the definition of functional calculus for a subclass of quaternion valued Borel functions, and then we extend the same to the class of quaternion valued Borel functions as well as L∞-functions. We also prove spectral mapping theorem as a consequence

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IITH Creators:	IITH Creators ORCiD Ramesh, G UNSPECIFIED
Item Type:	Article
Subjects:	Mathematics
Divisions:	Department of Mathematics
Depositing User:	Team Library
Date Deposited:	07 May 2019 05:56
Last Modified:	07 May 2019 05:56
URI:	http://raiithold.iith.ac.in/id/eprint/5064
Publisher URL:	http://doi.org/10.1063/1.4982047
Related URLs:	Google Scholar

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