Cargando…
Introduction to operator theory and invariant subspaces /
This monograph only requires of the reader a basic knowledge of classical analysis: measure theory, analytic functions, Hilbert spaces, functional analysis. The book is self-contained, except for a few technical tools, for which precise references are given. Part I starts with finite-dimensional spa...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York, N.Y., U.S.A. :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1988.
|
| Colección: | North-Holland mathematical library ;
v. 42. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn316569215 | ||
| 003 | OCoLC | ||
| 005 | 20231117015254.0 | ||
| 006 | m o d | ||
| 007 | cr cn||||||||| | ||
| 008 | 090320s1988 ne ob 000 0 eng d | ||
| 040 | |a OPELS |b eng |e pn |c OPELS |d OPELS |d OCLCQ |d OCLCF |d OCLCO |d DEBBG |d N$T |d UBY |d IDEBK |d E7B |d MERUC |d YDXCP |d OCLCQ |d COO |d OCLCQ |d DEBSZ |d OCLCQ |d LEAUB |d S2H |d OCLCO |d OCLCQ |d INARC |d OCLCQ |d OCLCO | ||
| 019 | |a 370406691 |a 505113270 |a 646801181 |a 742293986 |a 815768764 |a 823120543 |a 823841656 |a 823909475 |a 824098199 |a 824152864 | ||
| 020 | |a 9780444705211 | ||
| 020 | |a 044470521X | ||
| 020 | |a 9780080960890 |q (electronic bk.) | ||
| 020 | |a 0080960898 |q (electronic bk.) | ||
| 020 | |a 1282035010 | ||
| 020 | |a 9781282035010 | ||
| 035 | |a (OCoLC)316569215 |z (OCoLC)370406691 |z (OCoLC)505113270 |z (OCoLC)646801181 |z (OCoLC)742293986 |z (OCoLC)815768764 |z (OCoLC)823120543 |z (OCoLC)823841656 |z (OCoLC)823909475 |z (OCoLC)824098199 |z (OCoLC)824152864 | ||
| 050 | 4 | |a QA329 |b .B44 1988eb | |
| 072 | 7 | |a MAT |x 037000 |2 bisacsh | |
| 072 | 7 | |a PBKF |2 bicssc | |
| 082 | 0 | 4 | |a 515.7/24 |2 22 |
| 100 | 1 | |a Beauzamy, Bernard, |d 1949- | |
| 245 | 1 | 0 | |a Introduction to operator theory and invariant subspaces / |c Bernard Beauzamy. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York, N.Y., U.S.A. : |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |c 1988. | ||
| 300 | |a 1 online resource (xiv, 358 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland mathematical library ; |v v. 42 | |
| 520 | |a This monograph only requires of the reader a basic knowledge of classical analysis: measure theory, analytic functions, Hilbert spaces, functional analysis. The book is self-contained, except for a few technical tools, for which precise references are given. Part I starts with finite-dimensional spaces and general spectral theory. But very soon (Chapter III), new material is presented, leading to new directions for research. Open questions are mentioned here. Part II concerns compactness and its applications, not only spectral theory for compact operators (Invariant Subspaces and Lomonossov's Theorem) but also duality between the space of nuclear operators and the space of all operators on a Hilbert space, a result which is seldom presented. Part III contains Algebra Techniques: Gelfand's Theory, and application to Normal Operators. Here again, directions for research are indicated. Part IV deals with analytic functions, and contains a few new developments. A simplified, operator-oriented, version is presented. Part V presents dilations and extensions: Nagy-Foias dilation theory, and the author's work about C1-contractions. Part VI deals with the Invariant Subspace Problem, with positive results and counter-examples. In general, much new material is presented. On the Invariant Subspace Problem, the level of research is reached, both in the positive and negative directions. | ||
| 504 | |a Includes bibliographical references (pages 351-358). | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a pt. 1. General theory -- pt. 2. Compactness and its applications -- pt. 3. Banach algebras techniques -- pt. 4. Analytic functions -- pt. 5. Dilations and extensions -- pt. 6. Invariant subspaces. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Invariant subspaces. | |
| 650 | 6 | |a Th�eorie des op�erateurs. |0 (CaQQLa)201-0014171 | |
| 650 | 6 | |a Sous-espaces invariants. |0 (CaQQLa)201-0053414 | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 7 | |a Invariant subspaces |2 fast |0 (OCoLC)fst00977981 | |
| 650 | 7 | |a Operator theory |2 fast |0 (OCoLC)fst01046419 | |
| 650 | 7 | |a Op�erateurs, Th�eorie des. |2 ram | |
| 650 | 7 | |a Sous-espaces invariants. |2 ram | |
| 653 | |a Mathematics |a Operators | ||
| 776 | 0 | 8 | |i Print version: |a Beauzamy, Bernard, 1949- |t Introduction to operator theory and invariant subspaces. |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1988 |z 044470521X |z 9780444705211 |w (DLC) 88025064 |w (OCoLC)18351950 |
| 830 | 0 | |a North-Holland mathematical library ; |v v. 42. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444705211 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=09246509&volume=42 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/09246509/42 |z Texto completo |