A. Mundayadan

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20172026

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6 papers · 1 filter

math.FA2026

A class of bilateral weighted shift operators, and linear dynamics

Bibhash Kumar Das, Aneesh Mundayadan

This article aims to initiate a study of bilateral weighted backward shift operators defined on the spaces $ℓ_{a, b}^{p} (Ω_{r, R})$ and $c_{0, a, b} (Ω_{r, R})$ which are Banach spaces…

math.FA2025

Hypercyclicity of weighted shifts on weighted Bergman spaces

Bibhash Kumar Das, Aneesh Mundayadan

We study the continuity, and dynamical properties (hypercyclicity, periodic vectors, and chaos) for a weighted backward shift $B_{w}$ on a weighted Bergman space $A_{ϕ}^{p}$ based on the…

math.FA2024

Linear dynamics of the adjoint of a unilateral weighted shift operator

Bibhash Kumar Das, Aneesh Mundayadan

This paper is a sequel to our work in \cite{Das-Mundayadan}. Here, we primarily study the dynamics of the adjoint of a weighted forward shift operator $F_{w}$ on the analytic functio…

math.FA2023

Dynamics of weighted backward shifts on certain analytic function spaces

Bibhash Kumar Das, Aneesh Mundayadan

We introduce the Banach spaces $ℓ_{a, b}^{p}$ and $c_{0, a, b}$ , of analytic functions on the unit disc, having normalized Schauder bases consisting of polynomials of the form $f_n(z…

math.FA2018

Linear dynamics in reproducing kernel Hilbert spaces

Aneesh Mundayadan, Jaydeb Sarkar

Complementing earlier results on dynamics of unilateral weighted shifts, we obtain a sufficient (but not necessary, with supporting examples) condition for hypercyclicity, mixing a…

math.FA2017

Characterization of Invariant subspaces in the polydisc

Amit Maji, Aneesh Mundayadan, Jaydeb Sarkar +1

We give a complete characterization of invariant subspaces for $(M_{z_{1}}, \dots, M_{z_{n}})$ on the Hardy space $H^{2} (D^{n})$ over the unit polydisc $D^{n}$ in $\mathbb…