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Modern approaches to the invariant-subspace problem /
"One of the major unsolved problems in operator theory is the fifty-year-old invariant subspace problem, which asks whether every bounded linear operator on a Hilbert space has a nontrivial closed invariant subspace. This book presents some of the major results in the area, including many that...
| Main Authors: | , |
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| Format: | Printed Book |
| Sprog: | English |
| Udgivet: |
Cambridge, UK ; New York :
Cambridge University Press,
2011.
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| Serier: | Cambridge tracts in mathematics ;
188. |
| Fag: | |
| Online adgang: | Cover image |
| LEADER | 02696cam a22003374a 4500 | ||
|---|---|---|---|
| 008 | 110505s2011 enka b 001 0 eng | ||
| 999 | |c 335178 |d 335178 | ||
| 010 | |a 2011019460 | ||
| 016 | 7 | |a 015820972 |2 Uk | |
| 020 | |a 1107010519 (hardback) | ||
| 020 | |a 9781107010512 (hardback) | ||
| 035 | |a (OCoLC)ocn711048040 | ||
| 042 | |a pcc | ||
| 082 | 0 | 0 | |a 515/.724 |2 23 |
| 100 | 1 | |a Chalendar, Isabelle, | |
| 245 | 1 | 0 | |a Modern approaches to the invariant-subspace problem / |c Isabelle Chalendar, Jonathan R. Partington. |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2011. | ||
| 300 | |a xi, 285 p. : |b ill. ; |c 24 cm. | ||
| 490 | 1 | |a Cambridge tracts in mathematics ; |v 188 | |
| 504 | |a Includes bibliographical references (p. 269-279) and index. | ||
| 505 | 0 | |a The operator-valued Poisson kernel and its applications -- Properties (An,m) and factorization of integrable functions -- Polynomially bounded operators with rich spectrum -- Beurling algebras -- Applications of a fixed-point theorem -- Minimal vectors -- Universal operators -- Moment sequences and binomial sums -- Positive and strictly-singular operators. | |
| 520 | |a "One of the major unsolved problems in operator theory is the fifty-year-old invariant subspace problem, which asks whether every bounded linear operator on a Hilbert space has a nontrivial closed invariant subspace. This book presents some of the major results in the area, including many that were derived within the past few years and cannot be found in other books. Beginning with a preliminary chapter containing the necessary pure mathematical background, the authors present a variety of powerful techniques, including the use of the operator-valued Poisson kernel, various forms of the functional calculus, Hardy spaces, fixed point theorems, minimal vectors, universal operators and moment sequences. The subject is presented at a level accessible to postgraduate students, as well as established researchers. It will be of particular interest to those who study linear operators and also to those who work in other areas of pure mathematics"-- | ||
| 650 | 0 | |a Invariant subspaces. | |
| 650 | 0 | |a Hilbert space. | |
| 700 | 1 | |a Partington, Jonathan R. |e Author. | |
| 856 | 4 | 2 | |3 Cover image |u http://assets.cambridge.org/97811070/10512/cover/9781107010512.jpg |
| 942 | |c BK | ||
| 830 | 0 | |a Cambridge tracts in mathematics ; |v 188. | |
| 906 | |a 7 |b cbc |c orignew |d 1 |e ecip |f 20 |g y-gencatlg | ||
| 955 | |b re04 2011-05-05 |c re04 2011-05-05 ONIX to Gen. Science |a xe10 2011-11-03 2 copies rec'd., to CIP ver. | ||
| 952 | |0 0 |1 0 |2 ddc |4 0 |6 515_000000000000000__724 |7 0 |9 383482 |a MAT |b MAT |c ST1 |d 2019-05-13 |i 6019 |l 0 |o 515/.724 |p MAT6019 |r 2019-05-13 |w 2019-05-13 |y BK | ||