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Showing 2003Show all
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math.OA2003
Applications of the Wold decomposition to the study of row contractions associated with directed graphs
Elias Katsoulis, David W. Kribs
Based on a Wold decomposition for families of partial isometries and projections of Cuntz-Krieger-Toeplitz-type, we extend several fundamental theorems from the case of single vert…
math.FA2003★ 4 cited
Partially Isometric Dilations of Noncommuting -tuples of Operators
Michael T. Jury, David W. Kribs
Given a row contraction of operators on Hilbert space and a family of projections on the space which stabilize the operators, we show there is a unique minimal joint dilation to a…