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

Gantner, Jonathan

ISBN 10: 1470442388 / ISBN 13: 9781470442385

Verlag: Amer Mathematical Society, 2020

Beschreibung

101 pages. In Stock.

Bestandsnummer des Verkäufers __1470442388

Bibliografische Details

• Titel: Operator Theory on One-sided Quaternion Linear Spaces: Intrinsic S-functional Calculus and Spectral Operators
• Verlag: Amer Mathematical Society
• Erscheinungsjahr: 2020
• Sprache: Englisch
• ISBN-10: 1470442388
• ISBN-13: 9781470442385
• Einband: Paperback
• Zustand: Brand 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