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math.FA2026
On Quasinormality of compact perturbations of the isometries
Susmita Das
We study the compact perturbations of an isometry on a separable Hilbert space and provide a complete characterization of when they are quasinormal. Based on that, we present a com…
math.FA2025
Zero Products of Toeplitz operators on the Hardy and Bergman spaces over an annulus
Susmita Das, E. K. Narayanan
We study the zero product problem of Toeplitz operators on the Hardy space and Bergman space over an annulus. Assuming a condition on the Fourier expansion of the symbols, we show…
math.FA2024
Invariant subspaces of compressions of the Hardy shift on some parametric spaces
Susmita Das
We study the class of operators obtained by compressing the Hardy shift on the parametric spaces corresponding to the pair satisfying $|α|^2…