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The monogenic functional calculus

100%

Jefferies B., McIntosh A., Picton-Warlow J.

Studia Mathematica

1999

tom 136

nr 2

99-119

A study is made of a symmetric functional calculus for a system of bounded linear operators acting on a Banach space. Finite real linear combinations of the operators have real spectra, but the operators do not necessarily commute with each other. Analytic functions of the operators are formed by using functions taking their values in a Clifford algebra.

A constructive proof of the composition rule for Taylor's functional calculus

100%

Andersson M., Sandberg S.

Studia Mathematica

2000

tom 142

nr 1

65-69

We give a new constructive proof of the composition rule for Taylor's functional calculus for commuting operators on a Banach space.

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On the reflexivity of multigenerator algebras

53%

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

2 Studia Mathematica

1 Andersson M.

1 Jefferies B.

1 McIntosh A.

1 Picton-Warlow J.

1 Ptak M.

1 Sandberg S.

1 2000

1 1999

1 1998

Wyniki wyszukiwania

The monogenic functional calculus

A constructive proof of the composition rule for Taylor's functional calculus

On the reflexivity of multigenerator algebras