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

Gantner, Jonathan

Couverture souple

ISBN 10 : 1470442388 ISBN 13 : 9781470442385

Editeur : American Mathematical Society, 2021

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.

A propos du livre

À propos de l?auteur

Jonathan Gantner, Politecnico di Milano, Italy

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2021
• Langue: anglais
• ISBN 10: 1470442388
• ISBN 13: 9781470442385
• Reliure: Broché
• Nombre de pages: 101
• Coordonnées du fabricant: non disponible