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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.OA2003★ 1 cited
Compact Operators and Nest Representations of Limit Algebras
Elias Katsoulis, Justin R. Peters
In this paper we study the nest representations of a strongly maximal TAF algebra, whose ranges contain non-zero compact operators. We introduce a particular class of such represen…