arXiv (OAI Expanded)
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Wold-type decompositions for norm-increasing $m$-concave weighted shifts on directed trees
In this article, we show that every norm-increasing $3$-concave weighted shift on a directed tree admits Wold-type decomposition. We then classify the $4$-isometries within a class of weighted shifts on a rootless directed tree introduced by S. Chavan and S. Trivedi, and use this classification to c
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