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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
Title: Operator Theory on One-sided Quaternion ...
Publisher: Amer Mathematical Society
Publication Date: 2020
Binding: Paperback
Condition: Brand New
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Softcover. 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