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Weyl-von Neumann-Berg theorem for quaternionic operatorsPublished in American Institute of Physics Inc.
2016
DOI: 10.1063/1.4945312
Volume: 57
Issue: 4
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. © 2016 AIP Publishing LLC.
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Content may be subject to copyright.This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publ... ...This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in [Weyl-von Neumann-Berg theorem for quaternionic operators. Journal of Mathematical Physics 57, 4 p043503 (2016)] and may be found at https://doi.org/10.1063/1.4945312.
About the journal
| Journal | Data powered by TypesetJournal of Mathematical Physics |
|---|---|
| Publisher | Data powered by TypesetAmerican Institute of Physics Inc. |
| ISSN | 00222488 |
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