Light wear to spine, covers & corners. ; Memoirs of the American Mathematical Society. September 2020. Volume 267. Number 1297; 25.3 x 17.8 x 0.8cms; v. 101 pages. Bestandsnummer des Verk�ufers LCB85251

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Titel: Operator Theory on One-Sided Quaternion ...

Verlag: American Mathematical Society, Providence, Rhode Island

Erscheinungsdatum: 2020

Einband: Original Wrappers

Zustand: Near Fine

Zustand des Schutzumschlags: No Dust Jacket

Auflage: First Edition; First Impression.

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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.

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Jonathan Gantner, Politecnico di Milano, Italy

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