Avijit Pal

activity

20142021

most citedInfinite-dimensional features of matrices and pseudospectra

3 citations · 7 across the 7 of their papers we have counts for

collaborators

7 papers

math.FA2021

Necessary conditions for existence of $Γ_{n}$ -contractions and examples of $Γ_{3}$ -contractions

Shubhankar Mandal, Avijit Pal

The fundamental result of B. Sz. Nazy states that every contraction has a coisometric extension and a unitary dilation. The isometric dilation of a contraction on a Hilbert space m…

math.FA2020

Isometric Embeddability of $S_{q}^{m}$ into $S_{p}^{n}$

Arup Chattopadhyay, Guixiang Hong, Avijit Pal +2

In this paper, we study existence of isometric embedding of $S_{q}^{m}$ into $S_{p}^{n},$ where $1 \leq p \neq = q \leq \infty$ and $n \geq m \geq 2.$ We show that for all $n \geq m \geq 2$ if ther…

math.FA2017

On $Γ_{n}$ -contractions and their Conditional Dilations

Avijit Pal

We prove some estimates for elementary symmetric polynomials on $D^{n} .$ We show that these estimates are sharp which allow us to study the properties of closed symmetrized p…

math.FA2016★ 3 cited

Infinite-dimensional features of matrices and pseudospectra

Avijit Pal, Dmitry V. Yakubovich

Given a Hilbert space operator $T$ , the level sets of function $Ψ_{T} (z) = ∥ (T - z)^{- 1} ∥^{- 1}$ determine the so-called pseudospectra of $T$ . We set $Ψ_{T}$ to be zero on the spectrum of…

math.FA2016★ 1 cited

Contractivity and complete contractivity for finite dimensional Banach Spaces

Gadadhar Misra, Avijit Pal, Cherian Varughese

Choose an arbitrary but fixed set of $n \times n$ matrices $A_{1}, \dots, A_{m}$ and let $Ω_{A} \subset C^{m}$ be the unit ball with respect to the norm $\|\cdot\|_{\mathbf…

math.FA2014★ 3 cited

Contractivity, complete contractivity and curvature inequalities

Gadadhar Misra, Avijit Pal

For any bounded domain $Ω$ in $C^{m},$ let $B_{1} (Ω)$ denote the Cowen-Douglas class of commuting $m$ -tuples of bounded linear operators. For an $m$ -tuple $\boldsymbo…

math.FA2014

Contractivity, Complete Contractivity and Curvature inequalities

Avijit Pal

Let $∥ \cdot ∥_{A}$ be a norm on $C^{m}$ given by the formula $∥ (z_{1}, \dots, z_{m}) ∥_{A} = ∥ z_{1} A_{1} + \dots + z_{m} A_{m} ∥_{op}$ for some choice of an $m$ -tuple of…

Necessary conditions for existence of Γn​-contractions and examples of Γ3​-contractions

Isometric Embeddability of Sqm​ into Spn​

On Γn​-contractions and their Conditional Dilations

Infinite-dimensional features of matrices and pseudospectra

Contractivity and complete contractivity for finite dimensional Banach Spaces

Contractivity, complete contractivity and curvature inequalities

Contractivity, Complete Contractivity and Curvature inequalities

Necessary conditions for existence of $Γ_{n}$ -contractions and examples of $Γ_{3}$ -contractions

Isometric Embeddability of $S_{q}^{m}$ into $S_{p}^{n}$

On $Γ_{n}$ -contractions and their Conditional Dilations