MARC details
000 -LEADER |
fixed length control field |
02527nam a2200361Ia 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20250125160745.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
241112s9999 xx 000 0 und d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780821820650 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781470409258 (pbk.) |
Terms of availability |
₹ 1700.00 |
040 ## - CATALOGING SOURCE |
Language of cataloging |
ENG |
Transcribing agency |
IISER-BPR |
041 ## - LANGUAGE CODE |
Language code of text/sound track or separate title |
ENG |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.72 |
Item number |
CON |
Edition number |
23rd |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Conway, John B. |
9 (RLIN) |
1088 |
222 ## - KEY TITLE |
Key title |
Mathematics |
245 #2 - TITLE STATEMENT |
Title |
A course in operator theory |
250 ## - EDITION STATEMENT |
Edition statement |
1st ed. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
Rhode Island: |
Name of publisher, distributor, etc |
American Mathematical Society, |
Date of publication, distribution, etc |
c2000. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xiii, 372p. : |
Dimensions |
24cm |
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Graduate Studies in Mathematics |
Volume number/sequential designation |
Vol. 21 |
9 (RLIN) |
2652 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographic references, subject index and list of symbols. |
520 ## - SUMMARY, ETC. |
Summary, etc |
Operator theory is a significant part of many important areas of modern mathematics: functional analysis, differential equations, index theory, representation theory, mathematical physics, and more. This text covers the central themes of operator theory, presented with the excellent clarity and style that readers have come to associate with Conway's writing.<br/><br/>Early chapters introduce and review material on C*-algebras, normal operators, compact operators and non-normal operators. The topics include the spectral theorem, the functional calculus and the Fredholm index. Also, some deep connections between operator theory and analytic functions are presented.<br/><br/>Later chapters cover more advanced topics, such as representations of C*-algebras, compact perturbations and von Neumann algebras. Major results, such as the Sz.-Nagy Dilation Theorem, the Weyl-von Neumann-Berg Theorem and the classification of von Neumann algebras, are covered, as is a treatment of Fredholm theory. These advanced topics are at the heart of current research.<br/><br/>The last chapter gives an introduction to reflexive subspaces, i.e., subspaces of operators that are determined by their invariant subspaces. These, along with hyperreflexive spaces, are one of the more successful episodes in the modern study of asymmetric algebras.<br/><br/>Professor Conway's authoritative treatment makes this a compelling and rigorous course text, suitable for graduate students who have had a standard course in functional analysis. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics |
9 (RLIN) |
2653 |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Analysis |
9 (RLIN) |
2654 |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Functional analysis |
9 (RLIN) |
2655 |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Calculus |
9 (RLIN) |
2656 |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Operational calculus |
9 (RLIN) |
2657 |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Operator theory |
9 (RLIN) |
2658 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Books |
Source of classification or shelving scheme |
Dewey Decimal Classification |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
947 ## - LOCAL PROCESSING INFORMATION (OCLC) |
a |
1700 |
948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN) |
Series part designator, SPT (RLIN) |
22 |