Bappa Bisai

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20162022

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math.FA2022

A generalization of Ando's dilation, and isometric dilations for a class of tuples of $q$ -commuting contractions

Sibaprasad Barik, Bappa Bisai

Given a bounded operator $Q$ on a Hilbert space $H$ , a pair of bounded operators $(T_{1}, T_{2})$ on $H$ is said to be $Q$ -commuting if one of the following holds:…

math.FA2022

Admissible fundamental operators associated with two domains related to $μ$ -synthesis

Bappa Bisai

In this article, we discuss necessary condition of conditional dilation for both completely non-unitary (c.n.u) $Γ_{n}$ -contractions and c.n.u $E$ -contractions. Consider tw…

math.FA2022

On $q$ -commuting co-extensions and $q$ -commutant lifting

Bappa Bisai, Sourav Pal, Prajakta Sahasrabuddhe

Consider a nonzero contraction $T$ and a bounded operator $X$ satisfying $T X = q X T$ for a complex number $q$ . There are some interesting results in the literature on $q$ -commuting di…

A generalization of Ando's dilation, and isometric dilations for a class of tuples of q-commuting contractions

Admissible fundamental operators associated with two domains related to μ-synthesis

On q-commuting co-extensions and q-commutant lifting

A generalization of Ando's dilation, and isometric dilations for a class of tuples of $q$ -commuting contractions

Admissible fundamental operators associated with two domains related to $μ$ -synthesis

On $q$ -commuting co-extensions and $q$ -commutant lifting