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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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 CreatorsORCiD
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://raiith.iith.ac.in/id/eprint/5357
Publisher URL: http://doi.org/10.1063/1.4945312
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