G, Ramesh
(2016)
Weylvon NeumannBerg theorem for quaternionic operators.
Journal of Mathematical Physics, 57 (4).
043503.
ISSN 00222488
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Abstract
We prove the Weylvon NeumannBerg 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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