Commuting nonselfadjoint operators in hilbert space : (notice n° 4147)
| 000 -LEADER | |
|---|---|
| fixed length control field | 02103nam a2200277 u 4500 |
| 001 - CONTROL NUMBER | |
| control field | UNI0000318 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20161122161330.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130726s2008 XX eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 3540183167 (paperback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783540183167 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DCLC |
| 040 ## - CATALOGING SOURCE | |
| Modifying agency | IMIST |
| Description conventions | AFNOR |
| 041 1# - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.723 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Livsic,, Moshe S. |
| 245 #0 - TITLE STATEMENT | |
| Title | Commuting nonselfadjoint operators in hilbert space : |
| Remainder of title | two independent studies |
| Statement of responsibility, etc | Moshe S. Livsic, Leonid L. Waksman. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1987th ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | [S.l.] |
| Name of publisher, distributor, etc | Springer |
| Date of publication, distribution, etc | 2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 118 p. |
| Dimensions | 24 cm. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Lecture notes in mathematics. |
| 500 ## - GENERAL NOTE | |
| General note | Classification of commuting non-selfadjoint operators is one of the most challenging problems in operator theory even in the finite-dimensional case. The spectral analysis of dissipative operators has led to a series of deep results in the framework of unitary dilations and characteristic operator functions. It has turned out that the theory has to be based on analytic functions on algebraic manifolds and not on functions of several independent variables as was previously believed. This follows from the generalized Cayley-Hamilton Theorem, due to M.S.Livsic: "Two commuting operators with finite dimensional imaginary parts are connected in the generic case, by a certain algebraic equation whose degree does not exceed the dimension of the sum of the ranges of imaginary parts." Such investigations have been carried out in two directions. One of them, presented by L.L.Waksman, is related to semigroups of projections of multiplication operators on Riemann surfaces. Another direction, which is presented here by M.S.Livsic is based on operator colligations and collective motions of systems. Every given wave equation can be obtained as an external manifestation of collective motions. The algebraic equation mentioned above is the corresponding dispersion law of the input-output waves. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Harmonic analysis |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Hilbert space |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Nonselfadjoint operators |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Waksman,, Leonid L. |
| Withdrawn status | Lost status | Damaged status | Not for loan | Permanent Location | Current Location | Date acquired | Inventory number | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| La bibliothèque des Sciences Exactes et Naturelles | La bibliothèque des Sciences Exactes et Naturelles | 21059 | 515.723 LIV | 0000000018540 | 11/22/2016 | 11/22/2016 | Livre |