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Borel functional calculus for quaternionic normal operatorsPublished in American Institute of Physics Inc.
2017
DOI: 10.1063/1.4982047
Volume: 58
Issue: 5
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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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 [Borel functional calculus for quaternionic normal operators. Journal of Mathematical Physics 58, 5 p053501 (2017)] and may be found at https://doi.org/10.1063/1.4982047.
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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