Operator Theory on One-Sided Quaternion Linear Spaces: Intrinsic S -Functional Calculus and Spectral Operators

Jonathan Gantner

ISBN 10: 1470442388 / ISBN 13: 9781470442385

Edité par American Mathematical Society, 2021

A propos de cet article

New copy - Usually dispatched within 4 working days. 210.

N° de réf. du vendeur B9781470442385

Détails bibliographiques

• Titre: Operator Theory on One-Sided Quaternion Linear Spaces: Intrinsic S -Functional Calculus and Spectral Operators
• Éditeur: American Mathematical Society
• Date de parution: 2021
• Langue: anglais
• ISBN à 10 chiffres: 1470442388
• ISBN à 13 chiffres: 9781470442385
• Reliure: Paperback / softback
• État de l'article: New

A propos de ce titre

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.

À propos de l?auteur

Jonathan Gantner, Politecnico di Milano, Italy