1 citations · 2 across the 23 of their papers we have counts for
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Joint reducing subspaces and orthogonal decompositions of operators in an annulus
Sourav Pal, Nitin Tomar
A commuting tuple of Hilbert space operators is said to be an \textit{-contraction} if the closure of the polyannulus \[ \mathbb A_r^n=\left\{(…
The block matrices associated with an annulus
Sourav Pal, Nitin Tomar
A bounded Hilbert space operator 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…
Operators associated with the pentablock and their relations with biball and symmetrized bidisc
Sourav Pal, Nitin Tomar
A commuting triple of Hilbert space operators is said to be a \textit{-contraction} if the closed pentablock is a spectral set for $(A,…
Dilation and Birkhoff-James orthogonality
Sourav Pal, Saikat Roy
We study the interaction between unitary -dilations of a pair of Hilbert space operators and Birkhoff-James orthogonality. We prove that for two orthogonal operators if $\…
Dilation of normal operators associated with an annulus
Sourav Pal, Nitin Tomar
For , let us consider the following annulus: \[ \mathbb A_r= \{ z\in \mathbb C\, : \, r<|z|<1 \}. \] A Hilbert space operator for which is a spe…