Backward Shift Operator and Finite Dimensional De Branges Rovnyak Spaces in the Ball

Document Type

Article

Publication Date

2003

Abstract

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.

Comments

This article was originally published in Linear Algebra and its Applications, volume 371, in 2003. DOI: 10.1016/S0024-3795(03)00456-7

Peer Reviewed

1

Copyright

Elsevier

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