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

Gantner, Jonathan

ISBN 10: 1470442388 / ISBN 13: 9781470442385

Published by Amer Mathematical Society, 2020

About this Item

101 pages. In Stock.

Seller Inventory # __1470442388

Bibliographic Details

• Title: Operator Theory on One-sided Quaternion Linear Spaces: Intrinsic S-functional Calculus and Spectral Operators
• Publisher: Amer Mathematical Society
• Publication Date: 2020
• Language: English
• ISBN 10: 1470442388
• ISBN 13: 9781470442385
• Binding: Paperback
• Condition: Brand New

About this title

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.

About the Author

Jonathan Gantner, Politecnico di Milano, Italy