N. Tomar

activity

20222026

most citedCharacterizations and models for the

C_{1, r}

class and quantum annulus

1 citations · 1 across the 21 of their papers we have counts for

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3 papers · 1 filter

math.FA2024

Classification and dilation for $q$ -commuting $2 \times 2$ scalar matrices

Sourav Pal, Prajakta Sahasrabuddhe, Nitin Tomar

A tuple $T = (T_{1}, \dots, T_{k})$ of operators on a Hilbert space $H$ is said to be \textit{ $q$ -commuting with} $∥ q ∥ = 1$ or simply $q$ -\textit{commuting} if ther…

math.FA2024

Theory of $q$ -commuting contractions-II: Regular dilation, Brehmer's positivity and von Neumann's inequality

Sourav Pal, Prajakta Sahasrabuddhe, Nitin Tomar

It is well-known that a commuting family of contractions possesses a regular unitary dilation if and only if it satisfies Brehmer's positivity condition. We extend this theorem to…

math.FA2024

Remarks on positive definite functions on a group

Swapan Jana, Sourav Pal, Nitin Tomar

We study the operator-valued positive definite functions on a group using positive block matrices. We give an alternative proof to Brehmer positivity for doubly commuting contracti…

Classification and dilation for q-commuting 2×2 scalar matrices

Theory of q-commuting contractions-II: Regular dilation, Brehmer's positivity and von Neumann's inequality

Remarks on positive definite functions on a group

Classification and dilation for $q$ -commuting $2 \times 2$ scalar matrices

Theory of $q$ -commuting contractions-II: Regular dilation, Brehmer's positivity and von Neumann's inequality