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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Dilations, Completely Positive Maps and Geometry
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Dilations, Completely Positive Maps and Geometry
B.V. Rajarama Bhat, Tirthankar Bhattacharyya (Broschiert, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
02.02.2025
Sprache
Englisch
EAN
9789819983544
Herausgeber
Springer Singapore
Serien- oder Bandtitel
Texts and Readings in Mathematics
Sonderedition
Nein
Autor
B.V. Rajarama Bhat, Tirthankar Bhattacharyya
Seitenanzahl
229
Einbandart
Broschiert
Schlagwörter
operator theory, self-adjoint operator algebras, reproducing kernel, symmetrized bi-disc, functional analysis, general theory of operators, spectral sets of linear operators, Hilbert spaces, model theory, spectral sets, compressions of operators, extensions of of operators, dilations of operators
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
PBM - Geometrie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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