3 papers
math.FA2026
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…
math.FA2026
Unbounded Toeplitz operators and finite rank de Branges-Rovnyak spaces
Soumitra Ghara, MD Ramiz Reza, Chaman Kumar Sahu
Motivated by the recent developments of de Branges-Rovnyak spaces, we investigate the function theoretic aspects of finite rank de Branges-Rovnyak spaces generated by row-va…
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…