Wyniki wyszukiwania

1

Generalized eigenfunction expansions and spectral decompositions

100%

Putinar M.

Banach Center Publications

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1997

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tom 38

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nr 1

265-286

EN

The paper relates several generalized eigenfunction expansions to classical spectral decomposition properties. From this perspective one explains some recent results concerning the classes of decomposable and generalized scalar operators. In particular a universal dilation theory and two different functional models for related classes of operators are presented.

2

On joint spectra of pairs of analytic Toeplitz operators

100%

Putinar M.

Studia Mathematica

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1995

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tom 115

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nr 2

129-134

EN

One computes the joint and essential joint spectra of a pair of multiplication operators with bounded analytic functions on the Hardy spaces of the unit ball in $ℂ^n$.

3

A natural localization of Hardy spaces in several complex variables

63%

Putinar M., Wolff R.

Annales Polonici Mathematici

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1997

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tom 66

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nr 1

183-201

EN

Let H²(bΩ) be the Hardy space of a bounded weakly pseudoconvex domain in $ℂ^n$. The natural resolution of this space, provided by the tangential Cauchy-Riemann complex, is used to show that H²(bΩ) has the important localization property known as Bishop's property (β). The paper is accompanied by some applications, previously known only for Bergman spaces.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Banach Center Publications

1 Studia Mathematica

3 Putinar M.

1 Wolff R.

2 1997

1 1995

Generalized eigenfunction expansions and spectral decompositions

On joint spectra of pairs of analytic Toeplitz operators

A natural localization of Hardy spaces in several complex variables