Dilations, Completely Positive Maps and Geometry

Language: English

Published by Springer, Springer Feb 2024, 2024

9819983517 / 9789819983513

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Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germanybuchversandmimpf2000

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This item is printed on demand - Print on Demand Titel. Neuware -This book introduces the dilation theory of operators on Hilbert spaces and its relationship to complex geometry. Classical as well as very modern topics are covered in the book. On the one hand, it introduces the reader to the characteristic function, a classical object used by Sz.-Nagy and Foias and still a topic of current research. On the other hand, it describes the dilation theory of the symmetrized bidisc which has been developed mostly in the present century and is a very active topic of research. It also describes an abstract theory of dilation in the setting of set theory. This was developed very recently.A good portion of the book discusses various geometrical objects like the bidisc, the Euclidean unit ball, and the symmetrized bidisc. It shows the similarities and differences between the dilation theory in these domains. While completely positive maps play a big role in the dilation theory of the Euclidean unit ball, this is not so in the symmetrized bidisc for example. There, the central role is played by an operator equation. Targeted to graduate students and researchers, the book introduces the reader to different techniques applicable in different domains.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 244 pp. Englisch.…

Seller Inventory # 9789819983513

Title
Dilations, Completely Positive Maps and Geometry
Author
B. V. Rajarama Bhat
Publisher
Springer, Springer Feb 2024
Publication year
2024
Condition
Neu
Binding
Buch
Language
English
ISBN 10
9819983517
ISBN 13
9789819983513
Item weight
580 grams
Dimensions
241x160x18 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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