Operator theory on one-sided quaternionic linear spaces: intrinsic S-functional calculus and spectral operators. Memoirs of the American Mathematical Society; volume 267, number 1297 (first of 7 numbers).

Gantner, Jonathan

ISBN 10: 1470442388 / ISBN 13: 9781470442385

Published by Providence, AMS, American Mathematical Society, 2020

About this Item

Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00030 9781470442385 Sprache: Englisch Gewicht in Gramm: 350.

Seller Inventory # 2482529

Bibliographic Details

• Title: Operator theory on one-sided quaternionic linear spaces: intrinsic S-functional calculus and spectral operators. Memoirs of the American Mathematical Society; volume 267, number 1297 (first of 7 numbers).
• Publisher: Providence, AMS, American Mathematical Society
• Publication Date: 2020
• Language: English
• ISBN 10: 1470442388
• ISBN 13: 9781470442385
• Binding: Softcover
• Seller catalogs:
  • SA MATHEMATIK

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