Avijit Pal

collaborators

2 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.FA2016

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…

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

Contractivity and complete contractivity for finite dimensional Banach Spaces

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