MARC details
| 000 -LEADER |
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| fixed length control field |
02538cam a2200289 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
135872 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20150616114855.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
140630t20142014riu b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470416973 (hbk.: acidfree paper) |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
510MS |
| Edition number |
23 |
| Item number |
Am512 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Kaliuzhnyi-Verbovetskyi, Dmitry S. |
| 245 10 - TITLE STATEMENT |
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| Title |
Foundations of free noncommutative function theory / |
| Statement of responsibility, etc |
Dmitry S. Kaliuzhnyi-Verbovetskyi and Victor Vinnikov. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Providence : |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
c2014. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
vi, 183 p. ; |
| Dimensions |
26 cm. |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Mathematical surveys and monographs ; |
| Volume number/sequential designation |
v 199. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 175-179) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. Introduction--<br/>2. NC functions and their difference-differential calculus-- <br/>3. Higher order nc functions and their difference-differential calculus-- <br/>4. The Taylor-Taylor formula--<br/>5. NC functions on nilpotent matrices--<br/>6. NC polynomials vs. polynomials in matrix entries--<br/>7. NC analyticity and convergence of TT series--<br/>9. Convergence of nc power series--<br/>9. Direct summands extensions of nc sets and nc functions (Some) earlier work on nc functions--<br/>Appendix A. Similarity invariant envelopes and extension of nc functions--<br/>Bibliography--<br/>Index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This book is developed by a theory of free noncommutative functions, in both algebraic and analytic settings. Such functions are defined as mappings from square matrices of all sizes over a module (in particular, a vector space) to square matrices over another module, which respect the size, direct sums, and similarities of matrices. Examples include, but are not limited to, noncommutative polynomials, power series, and rational expressions. Motivation and inspiration for using the theory of free noncommutative functions often comes from free probability. An important application area is dimensionless matrix inequalities; these arise, e.g., in various optimization problems of system engineering. Among other related areas are those of polynomial identities in rings, formal languages and finite automata, quasideterminants, noncommutative symmetric functions, operator spaces and operator algebras, quantum control. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Functional analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Noncommutative algebras. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Noncommutative function spaces. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Nonassociative rings and algebras -- General nonassociative rings -- Free algebras. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Vinnikov, Victor. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
