A Beurling-Lax type theorem in the unit ball

D Alpay; A Dijksma; J Rovnyak

A Beurling-Lax type theorem in the unit ball

D Alpay^*, A Dijksma, J Rovnyak

^*Bijbehorende auteur voor dit werk

Onderzoeksoutput: Article › Academic › peer review

5 Citaten (Scopus)

Samenvatting

Originele taal-2	English
Pagina's (van-tot)	349-354
Aantal pagina's	6
Tijdschrift	Comptes Rendus Mathematique
Volume	334
Nummer van het tijdschrift	5
Status	Published - 15-mrt.-2002

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A Beurling-Lax type theorem in the unit ball
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title = "A Beurling-Lax type theorem in the unit ball",

abstract = "We prove a Beurling-Lax theorem for a family of reproducing kernel Hilbert spaces of functions analytic in an open subset of the unit ball containing the origin. The spaces under consideration are characterized by functions called Schur multipliers. Using the theory of linear relations in Pontryagin spaces we also give coisometric realizations of Schur multipliers. (C) 2002 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.",

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AU - Alpay, D

AU - Dijksma, A

AU - Rovnyak, J

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N2 - We prove a Beurling-Lax theorem for a family of reproducing kernel Hilbert spaces of functions analytic in an open subset of the unit ball containing the origin. The spaces under consideration are characterized by functions called Schur multipliers. Using the theory of linear relations in Pontryagin spaces we also give coisometric realizations of Schur multipliers. (C) 2002 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

AB - We prove a Beurling-Lax theorem for a family of reproducing kernel Hilbert spaces of functions analytic in an open subset of the unit ball containing the origin. The spaces under consideration are characterized by functions called Schur multipliers. Using the theory of linear relations in Pontryagin spaces we also give coisometric realizations of Schur multipliers. (C) 2002 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

KW - NEVANLINNA-PICK KERNELS

KW - INVARIANT SUBSPACES

KW - HILBERT-SPACES

M3 - Article

SN - 1631-073X

VL - 334

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EP - 354

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

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