4 papers · 2 filters
The operator-valued Schur-Agler class in infinitely many variables
Shubham Rastogi, Chaman Kumar Sahu
Motivated by a recent work of G. Knese [Canad. Math. Bull., 2026], we introduce the operator-valued Schur-Agler class in infinitely many variables, consisting of functions whose re…
Isometric rigidity of complete Pick algebras on monomial varieties
Hamidul Ahmed, B. Krishna Das, Chaman Kumar Sahu
We establish a geometric rigidity theorem for a class of monomial varieties in finite-dimensional unit balls. Every ball automorphism mapping one such variety onto another is unita…
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…
Multiplicative linear functionals on reproducing kernel Hilbert spaces
Tirthankar Bhattacharyya, Jaikishan, Poornendu Kumar +1
The classical Gleason--Kahane--Zelazko theorem characterizes multiplicative linear functionals on a unital Banach algebra through the scalar identity . We develo…