Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball

Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball

Recently Bolotnikov and Rodman characterized finite dimensional backward shift invariant subspaces of the Arveson space. In this note we study finite dimensional backward shift invariant Hilbert spaces contractively included in the Arveson space. To that purpose we redefine in an appropriate way the...

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Bibliographic Details
Published in:Linear algebra and its applications Vol. 371; pp. 277 - 285
Main Authors: Alpay, D., Dubi, C.
Format: Journal Article
Language:English
Published: New York, NY Elsevier Inc 15-09-2003
Elsevier Science
Subjects:
Algebra
Exact sciences and technology
Linear and multilinear algebra, matrix theory
Mathematics
Sciences and techniques of general use
Online Access:Get full text
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Summary:Recently Bolotnikov and Rodman characterized finite dimensional backward shift invariant subspaces of the Arveson space. In this note we study finite dimensional backward shift invariant Hilbert spaces contractively included in the Arveson space. To that purpose we redefine in an appropriate way the backward shift operators in terms of power series expansions.
ISSN:0024-3795
1873-1856
DOI:10.1016/S0024-3795(03)00456-7