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

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

5 Citations (Scopus)

Abstract

Original language	English
Pages (from-to)	349-354
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	334
Issue number	5
Publication status	Published - 15-Mar-2002

Keywords

NEVANLINNA-PICK KERNELS
INVARIANT SUBSPACES
HILBERT-SPACES

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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.",

keywords = "NEVANLINNA-PICK KERNELS, INVARIANT SUBSPACES, HILBERT-SPACES",

author = "D Alpay and A Dijksma and J Rovnyak",

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language = "English",

volume = "334",

pages = "349--354",

journal = "Comptes Rendus Mathematique",

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TY - JOUR

T1 - A Beurling-Lax type theorem in the unit ball

AU - Alpay, D

AU - Dijksma, A

AU - Rovnyak, J

PY - 2002/3/15

Y1 - 2002/3/15

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

VL - 334

SP - 349

EP - 354

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

IS - 5

ER -