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math.FA2025
Weakly -homogeneous commuting tuple of bounded operators
Soumitra Ghara, Surjit Kumar, Shailesh Trivedi
We introduce and study the weakly -homogeneous commuting tuple of operators. We provide a sufficient condition under which a weakly -homogeneous tuple…
math.FA2025
Unitary equivalence of balanced weighted shifts on rooted directed trees
Shubhankar Mandal, Shailesh Trivedi
We completely characterize non-periodic balanced weighted shifts $S_{\lambdab}$ on rooted directed trees under a very mild assumption that $S_{\lambdab}^{*n}S_{\lambdab}^n|_{\ker S…
math.FA2025
Wold-type decomposition for left-invertible weighted shifts on a rootless directed tree
Sameer Chavan, Shailesh Trivedi
Let $S_{\lambdab}$ be a bounded left-invertible weighted shift on a rootless directed tree We address the question of when $S_{\lambdab}$ has Wold-typ…