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Smooth Homogeneous Structures in Operator Theory (CHAPMAN AND HALL /CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS, 137, Band 137) - Hardcover

Buch 16 von 34: Monographs and Surveys in Pure and Applied Mathematics

Beltita, Daniel

 
9781584886174: Smooth Homogeneous Structures in Operator Theory (CHAPMAN AND HALL /CRC MONOGRAPHS AND SURVEYS IN PURE AND APPLIED MATHEMATICS, 137, Band 137)
Hardcover
ISBN 10: 158488617X ISBN 13: 9781584886174
Verlag: Chapman and Hall/CRC, 2019

Inhaltsangabe

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures in Operator Theory builds the background needed to understand this circle of ideas and reports on recent developments in this fruitful field of research.

Requiring only a moderate familiarity with functional analysis and general topology, the author begins with an introduction to infinite dimensional Lie theory with emphasis on the relationship between Lie groups and Lie algebras. A detailed examination of smooth homogeneous spaces follows. This study is illustrated by familiar examples from operator theory and develops methods that allow endowing such spaces with structures of complex manifolds. The final section of the book explores equivariant monotone operators and Kähler structures. It examines certain symmetry properties of abstract reproducing kernels and arrives at a very general version of the construction of restricted Grassmann manifolds from the theory of loop groups.

The author provides complete arguments for nearly every result. An extensive list of references and bibliographic notes provide a clear picture of the applicability of geometric methods in functional analysis, and the open questions presented throughout the text highlight interesting new research opportunities.

Daniel Beltitâ is a Principal Researcher at the Institute of Mathematics "Simion Stoilow" of the Romanian Academy, Bucharest, Romania.

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Beltita, Daniel

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Verlag
Chapman and Hall/CRC
Erscheinungsdatum
2019
Sprache
Englisch
ISBN 10 
158488617X
ISBN 13 
9781584886174
Einband
Gebundene Ausgabe
Anzahl der Seiten
302
Kontakt zum Hersteller
CRC Press
https://www.routledge-ny.com

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