Displaying similar documents to “Wandering subspaces and quasi-wandering subspaces in the Bergman space.”

Some invariant subspaces for A-contractions and applications

Laurian Suciu (2006)

Extracta Mathematicae

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Some invariant subspaces for the operators A and T acting on a Hilbert space H and satisfying T*AT ≤ A and A ≥ 0, are presented. Especially, the largest invariant subspace for A and T on which the equality T* AT = A occurs, is studied in connections to others invariant or reducing subspaces for A, or T. Such subspaces are related to the asymptotic form of the subspace quoted above, this form being obtained using the operator limit of the sequence {TAT; n ≥ 1}. More complete results are...

On the dependence of the Bergman function on deformations of the Hartogs domain

Zbigniew Pasternak-Winiarski (1991)

Annales Polonici Mathematici

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We apply the Rudin idea to represent the Bergman kernel of the Hartogs domain as the sum of a series of weighted Bergman functions in the study of the dependence of this kernel on deformations of the domain. We prove that the Bergman function depends smoothly on the function defining the Hartogs domain.