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

Jonathan Gantner

ISBN 10: 1470442388 / ISBN 13: 9781470442385

Verlag: American Mathematical Society, 2021

Beschreibung

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

Bestandsnummer des Verkäufers B9781470442385

Bibliografische Details

• Titel: Operator Theory on One-Sided Quaternion Linear Spaces: Intrinsic S -Functional Calculus and Spectral Operators
• Verlag: American Mathematical Society
• Erscheinungsjahr: 2021
• Sprache: Englisch
• ISBN-10: 1470442388
• ISBN-13: 9781470442385
• Einband: Paperback / softback
• Zustand: New

Über diesen Titel

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.

Über die Autorin bzw. den Autor

Jonathan Gantner, Politecnico di Milano, Italy