Operator Theory on One-Sided Quaternion Linear Spaces
Intrinsic S -Functional Calculus and Spectral Operators
Format:Paperback
Publisher:American Mathematical Society
Published:30th Mar '21
Should be back in stock very soon
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.
ISBN: 9781470442385
Dimensions: unknown
Weight: 210g
101 pages