Dilations, completely positive maps and geometry (Record no. 60028)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 01776nam a22002057a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240207b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9788195782925 (HB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 515.1 |
| Item number | BHA |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Bhat, Rajarama B.V. |
| 245 ## - TITLE STATEMENT | |
| Title | Dilations, completely positive maps and geometry |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | New Delhi |
| Name of publisher | Hindustan Book Agency |
| Year of publication | 2023 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xi, 248p |
| 490 ## - SERIES STATEMENT | |
| Series statement | Texts and Readings in Mathematics |
| Volume number/sequential designation | 84 |
| 500 ## - GENERAL NOTE | |
| General note | 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.<br/><br/>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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Dilation theory |
| Form subdivision | Complex geometry |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Bhattacharyya, Tirthankar |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Full call number | Accession Number | Koha item type | Owner (If the Item is Gratis) | Copy number |
|---|---|---|---|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | First Floor, Rack No: 31, Shelf No: 16 | 515.1 BHA | 77500 | BOOKS | National Board for Higher Mathematics (NBHM) | |||||
| IMSc Library | IMSc Library | Multiple Copies Section | 515.1 BHA | 77504 | BOOKS | National Board for Higher Mathematics (NBHM) | 1 |