Operator Theory on One-Sided Quaternion Linear Spaces: Intrinsic S -Functional Calculus and Spectral Operators (Memoirs of the American Mathematical Society) - Softcover

Gantner, Jonathan

 
9781470442385: Operator Theory on One-Sided Quaternion Linear Spaces: Intrinsic S -Functional Calculus and Spectral Operators (Memoirs of the American Mathematical Society)
Softcover
ISBN 10: 1470442388 ISBN 13: 9781470442385
Verlag: American Mathematical Society, 2021

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Jonathan Gantner, Politecnico di Milano, Italy

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Verlag
American Mathematical Society
Erscheinungsdatum
2021
Sprache
Englisch
ISBN 10 
1470442388
ISBN 13 
9781470442385
Einband
Tapa blanda
Anzahl der Seiten
101
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