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

Автор: Garcia
Название: Introduction to Model Spaces and their Operators
ISBN: 1107108748 ISBN-13(EAN): 9781107108745
Издательство: Cambridge Academ
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Цена: 73920.00 T
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Описание: The study of model spaces is a broad field with connections to complex analysis, operator theory, engineering and mathematical physics. This self-contained text is the ideal introduction for newcomers, quickly taking them through the history of the subject and then pointing towards areas of future research.

Автор: Mikhail Popov, Beata Randrianantoanina
Название: Narrow Operators on Function Spaces and Vector Lattices
ISBN: 3110263033 ISBN-13(EAN): 9783110263039
Издательство: Walter de Gruyter
Цена: 148700.00 T
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Описание: Most classes of operators that are not isomorphic embeddings are characterized by some kind of a “smallness” condition. Narrow operators are those operators defined on function spaces that are “small” at {-1,0,1}-valued functions, e.g. compact operators are narrow. The original motivation to consider such operators came from theory of embeddings of Banach spaces, but since then they were also applied to the study of the Daugavet property and to other geometrical problems of functional analysis. The question of when a sum of two narrow operators is narrow, has led to deep developments of the theory of narrow operators, including an extension of the notion to vector lattices and investigations of connections to regular operators. Narrow operators were a subject of numerous investigations during the last 30 years. This monograph provides a comprehensive presentation putting them in context of modern theory. It gives an in depth systematic exposition of concepts related to and influenced by narrow operators, starting from basic results and building up to most recent developments. The authors include a complete bibliography and many attractive open problems.