On the reflexivity of multigenerator algebras

Ptak, Marek

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On the reflexivity of multigenerator algebras

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Ptak Marek

Seria

Rozprawy Matematyczne tom/nr w serii: 378 wydano: 1998

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CONTENTS
1. Introduction...................................................................................................5
2. N-tuples of linear transformations in finite-dimensional space......................8
3. Toeplitz operators on the polydisc and the unit ball....................................18
4. Subspaces of weighted shifts.....................................................................23
5. Joint spectra for N-tuples of operators........................................................27
6. Algebras of operator weighted shifts...........................................................30
7. Functional calculus for N-tuples of contractions..........................................37
8. Dual algebras, invariant subspace problem and reflexivity..........................44
9. Reflexivity of jointly quasinormal operators and spherical isometries..........45
10. Reflexivity and existence of invariant subspaces......................................47
11. Questions and open problems..................................................................56
References.....................................................................................................58

Słowa kluczowe

reflexive operator algebra invariant subspace hyporeflexive operator Toeplitz operator Taylor spectrum left spectrum doubly commute subdirect sum dual algebra quasinormal operators spherical isometry weighted shift functional calculus reflexive subspaces

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Kategoryzacja MSC:

Wydawca

Instytut Matematyczny Polskiej Akademii Nauk

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Copyright

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Rozprawy Matematyczne tom/nr w serii: 378

Liczba stron

61

Liczba rozdzia³ów

Opis fizyczny

Dissertationes Mathematicae, Tom CCCLXXVIII

Daty

wydano

1998

otrzymano

1996-10-15

poprawiono

1998-07-17

Twórcy

autor

Ptak Marek

rmptak@cyf-kr.edu.pl

Institute of Mathematics, University of Agriculture, Ul. Królewska 6, 30-045 Kraków, Poland

Bibliografia

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1991 Mathematics Subject Classification: Primary 47D27, 47A15; Secondary 15A30, 47D25, 47D15, 47B37, 47B35, 47B20.

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Książka - szczegóły

On the reflexivity of multigenerator algebras

Autorzy

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