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

Jonathan Gantner

ISBN 10: 1470442388 / ISBN 13: 9781470442385

Published by American Mathematical Society, 2021

About this Item

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

Seller Inventory # B9781470442385

Bibliographic Details

• Title: Operator Theory on One-Sided Quaternion Linear Spaces: Intrinsic S -Functional Calculus and Spectral Operators
• Publisher: American Mathematical Society
• Publication Date: 2021
• Language: English
• ISBN 10: 1470442388
• ISBN 13: 9781470442385
• Binding: Paperback / softback
• Condition: 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