Title: Operator Theory on One-sided Quaternion Linear Spaces : Intrinsic S-functional Calculus and Spectral Operators
Publisher: Amer Mathematical Society
Publication Date: 2021
Language: English
ISBN 10: 1470442388
ISBN 13: 9781470442385
Binding: Soft cover
Condition: As New

About this title

Synopsis

Two major themes drive this article: identifying the minimal structure necessary to formulate quaternionic operator theory and revealing a deep relation between complex and quaternionic operator theory.

The theory for quaternionic right linear operators is usually formulated under the assumption that there exists not only a right- but also a left-multiplication on the considered Banach space V . This has technical reasons, as the space of bounded operators on V is otherwise not a quaternionic linear space. A right linear operator is however only associated with the right multiplication on the space and in certain settings, for instance on quaternionic Hilbert spaces, the left multiplication is not defined a priori, but must be chosen randomly. Spectral properties of an operator should hence be independent of the left multiplication on the space.

About the Author

Jonathan Gantner, Politecnico di Milano, Italy

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