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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...
| Autori principali: | , |
|---|---|
| Natura: | Printed Book |
| Lingua: | English |
| Pubblicazione: |
Cambridge, UK ; New York :
Cambridge University Press,
2011.
|
| Serie: | Cambridge tracts in mathematics ;
188. |
| Soggetti: | |
| Accesso online: | Cover image |
Sommario:
- 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.