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math.FA2021
Weakly concave operators
Sameer Chavan, Jan Stochel
We study a class of left-invertible operators which we call weakly concave operators. It includes the class of concave operators and some subclasses of expansive strict -isometr…
math.FA2021
Dirichlet polynomials and a moment problem
Sameer Chavan, Chaman Kumar Sahu
Consider a linear functional defined on the space of Dirichlet polynomials with real coefficients and the set of non-negative elements in $\ma…
math.FA2021
The Cauchy dual subnormality problem via de Branges-Rovnyak spaces
Sameer Chavan, Soumitra Ghara, Md Ramiz Reza
The Cauchy dual subnormality problem (for short, CDSP) asks whether the Cauchy dual of a -isometry is subnormal. In this paper, we address this problem for cyclic -isometries…