10 papers · 1 filter
Circular operators and their strong circularity
Soumitra Ghara, Surjit Kumar, Shailesh Trivedi
Circular operators have been studied extensively since the work of R. Gellar, who conjectured that every circular operator on a complex separable Hilbert space is strongly circular…
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…
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…
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…
A short note on similarity of operator-valued multishifts
Soumitra Ghara, Surjit Kumar, Shailesh Trivedi
A complete characterization of the similarity between two operator-valued multishifts with invertible operator weights is obtained purely in terms of operator weights. This general…
Bounded point evaluation for operators with the wandering subspace property
Shailesh Trivedi
We extend and study the notion of bounded point evaluation introduced by Williams for a cyclic operator to the class of operators with the wandering subspace property. We character…