Weyl-von Neumann-Berg theorem for quaternionic operators

G, Ramesh (2016) Weyl-von Neumann-Berg theorem for quaternionic operators. Journal of Mathematical Physics, 57 (4). 043503. ISSN 0022-2488

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Abstract

We prove the Weyl-von Neumann-Berg theorem for right linear operators (not necessarily bounded) in a quaternionic Hilbert space: Let N be a right linear normal (need not be bounded) operator in a quaternionic separable infinite dimensional Hilbert space H. Then for a given ϵ > 0, there exists a compact operator K with ↑K↑<ϵ and a diagonal operator D on H such that N = D + K.

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IITH Creators:	IITH Creators ORCiD G, Ramesh UNSPECIFIED
Item Type:	Article
Subjects:	Mathematics
Divisions:	Department of Mathematics
Depositing User:	Team Library
Date Deposited:	28 May 2019 10:55
Last Modified:	28 May 2019 10:55
URI:	http://raiithold.iith.ac.in/id/eprint/5357
Publisher URL:	http://doi.org/10.1063/1.4945312
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