Sourav Pal

activity

20172026

most citedCharacterizations and models for the

C_{1, r}

class and quantum annulus

1 citations · 2 across the 23 of their papers we have counts for

collaborators

Showing 2023Show all

5 papers · 1 filter

math.FA2023

Joint reducing subspaces and orthogonal decompositions of operators in an annulus

Sourav Pal, Nitin Tomar

A commuting tuple of Hilbert space operators $(T_{1}, \dots, T_{n})$ is said to be an \textit{ $A_{r}^{n}$ -contraction} if the closure of the polyannulus \[ \mathbb A_r^n=\left\{(…

math.FA2023

The $2 \times 2$ block matrices associated with an annulus

Sourav Pal, Nitin Tomar

A bounded Hilbert space operator $T$ for which the closure of the annulus \[ \mathbb{A}_r=\{z \ : \ r<|z|<1\} \subseteq \mathbb{C}, \qquad (0<r<1) \] is a spectral set is called an…

math.FA2023

Operators associated with the pentablock and their relations with biball and symmetrized bidisc

Sourav Pal, Nitin Tomar

A commuting triple of Hilbert space operators $(A, S, P)$ is said to be a \textit{ $P$ -contraction} if the closed pentablock $P$ is a spectral set for $(A,…

math.FA2023

Dilation and Birkhoff-James orthogonality

Sourav Pal, Saikat Roy

We study the interaction between unitary $ρ$ -dilations of a pair of Hilbert space operators and Birkhoff-James orthogonality. We prove that for two orthogonal operators $T, A$ if $\…

math.FA2023

Dilation of normal operators associated with an annulus

Sourav Pal, Nitin Tomar

For $0 < r < 1$ , let us consider the following annulus: \[ \mathbb A_r= \{ z\in \mathbb C\, : \, r<|z|<1 \}. \] A Hilbert space operator $T$ for which $A_{r}$ is a spe…

Joint reducing subspaces and orthogonal decompositions of operators in an annulus

The 2×2 block matrices associated with an annulus

Operators associated with the pentablock and their relations with biball and symmetrized bidisc

Dilation and Birkhoff-James orthogonality

Dilation of normal operators associated with an annulus

The $2 \times 2$ block matrices associated with an annulus