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Selfadjoint operator matrices with finite rows

100%

Janas J., Stochel J.

Annales Polonici Mathematici

1997

tom 66

nr 1

155-172

A generalization of the Carleman criterion for selfadjointness of Jacobi matrices to the case of symmetric matrices with finite rows is established. In particular, a new proof of the Carleman criterion is found. An extension of Jørgensen's criterion for selfadjointness of symmetric operators with "almost invariant" subspaces is obtained. Some applications to hyponormal weighted shifts are given.

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On the reflexivity of multigenerator algebras

52%

Ptak M.

Instytut Matematyczny Polskiej Akademii Nauk

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

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Janas J.

1 Ptak M.

1 Stochel J.

1 1998

1 1997

Wyniki wyszukiwania

Selfadjoint operator matrices with finite rows

On the reflexivity of multigenerator algebras