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Dilations,completely positive maps and geometry (Record no. 34696)

MARC details
000 -LEADER
fixed length control field 02301nam a22002657a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240208163630.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240208b |||||||| |||| 00| 0 hin d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9788195782925
040 ## - CATALOGING SOURCE
Original cataloging agency NISER LIBRARY
Transcribing agency NISER LIBRARY
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title English
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514
Item number BHA-D
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Bhat, B.V. Rajarama
245 ## - TITLE STATEMENT
Title Dilations,completely positive maps and geometry
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. New Delhi:
Name of publisher, distributor, etc. Hindustan Book Agency,
Date of publication, distribution, etc. 2023.
300 ## - PHYSICAL DESCRIPTION
Extent xi, 246p.
Other physical details Hbk.
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Number of part/section of a work 84
490 ## - SERIES STATEMENT
Series statement Texts and Readings in Mathematics
Volume/sequential designation 84
500 ## - GENERAL NOTE
General note Includes bibliography and index.
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note http://www.hindbook.com/images/CONTENTS.pdf
520 ## - SUMMARY, ETC.
Summary, etc. This book deals with dilation theory of operators on Hilbert spaces and its relationship to complex geometry. Classical as well as very modern topics are covered. 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..<br/><br/>A good portion of the book deals with various geometrical objects like the bidisc, the Euclidean unit ball and the symmetrized bidisc. It shows the similarities and the differences between dilation theory in these domains. While completely positive maps play a big role in 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. Thus, the book will introduce the reader to different techniques applicable in different domains.<br/><br/>The first three chapters are suitable for an advanced course in operator theory in the final year of M.Sc. The whole book can be used for a first-year course for Ph.D. students. Portions of the book could also serve as material for advanced training schools in mathematics. After a course based on this book, students will be ready to work on state-of-the-art problems of research in operator theory.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometry
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Bhattacharyya, Tirthankar
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type NBHM Books
Source of classification or shelving scheme Universal Decimal Classification
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
    Universal Decimal Classification     SMS Library SMS Library 08/02/2024   514 BHA-D N369 08/02/2024 08/02/2024 NBHM Books
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