Unitary dilations for commuting contractions.
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This article is published in Pacific Journal of Mathematics.The article was published on 1970-08-01 and is currently open access. It has received 193 citations till now. The article focuses on the topics: Unitary state.read more
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Ten problems in Hilbert space
Book
Hilbert Modules over Function Algebras
TL;DR: A different point of view is outlined which may assist in guiding developments in the area of non-selfadjoint operator theory and which has largely eluded us.
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Poisson Transforms on Some C*-Algebras Generated by Isometries
TL;DR: In this paper, a noncommutative Poisson transform associated to a certain class of sequences of operators on Hilbert spaces, with property (P), is defined on some universal C *-algebras generated by isometries.
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On a quotient norm and the Sz.-Nagy-Foiaş lifting theorem
TL;DR: In this paper, it was shown that the infimum over all choices of an operator X of the norm of the operator matrix [ A C C X ], whose entries are operators on Hilbert spaces, is the minimum of the norms of the first row and of first column, and an explicit formula for a minimizing X is given in terms of A, B, C, and their adjoints.
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