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

Gantner, Jonathan

 
9781470442385: Operator Theory on One-sided Quaternion Linear Spaces: Intrinsic S-functional Calculus and Spectral Operators
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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Jonathan Gantner, Politecnico di Milano, Italy

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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
Personne responsable
non disponible