Operator Theory on One-sided Quaternion Linear Spaces: Intrinsic S-functional Calculus and Spectral Operators - Brossura

Gantner, Jonathan

Brossura

ISBN 10: 1470442388 ISBN 13: 9781470442385

Casa editrice: Amer Mathematical Society, 2021

Riassunto

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.

Dettagli dell?edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2021
• Lingua: Inglese
• ISBN 10: 1470442388
• ISBN 13: 9781470442385
• Rilegatura: Copertina flessibile
• Numero di pagine: 101
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile