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On an intertwining lifting theorem for certain reproducing kernel Hilbert spaces

On an intertwining lifting theorem for certain reproducing kernel Hilbert spaces

Authors :
Calin-Grigore Ambrozie
Dan Timotin
Source :
Integral Equations and Operator Theory. 42:373-384
Publication Year :
2002
Publisher :
Springer Science and Business Media LLC, 2002.

Abstract

We provide an alternate approach to an intertwining lifting theorem obtained by Ball, Trent and Vinnikov. The results are an exact analogue of the classical Sz-Nagy-Foias theorem in the case of multipliers on a class of reproducing kernel spaces, which satisfy the Nevanlinna-Pick property.

Details

ISSN :
14208989 and 0378620X
Volume :
42
Database :
OpenAIRE
Journal :
Integral Equations and Operator Theory
Accession number :
edsair.doi...........42bc9ba457bed2bbe94acbbfc17d9a3e
Full Text :
https://doi.org/10.1007/bf01270919