Commutant Lifting for Commuting Row Contractions

Details Commutant Lifting for Commuting Row Contractions Commutant Lifting for Commuting Row Contractions

2009-06-24

arxiv.org/abs/0906.4526v2

Mathematics

Operator Algebras

one section and references were added

Scientific paper

If $T= \big[ T_1 ... T_n\big]$ is a row contraction with commuting entries,
and the Arveson dilation is $\tilde T= \big[ \tilde T_1 ... \tilde T_n\big]$,
then any operator $X$ commuting with each $T_i$ dilates to an operator $Z$ of
the same norm which commutes with each $\tilde T_i$.

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