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math.FA2026
Intertwining of -regular -isometric dilations
Nitin Tomar
A tuple of contractions on a Hilbert space is said to be -commuting with if there exists a family of scalars $q=\{q_{ij}\i…
math.FA2026
Regular quantum annulus unitary dilation and applications
Nitin Tomar
Consider the annulus for and the quantum annulus \[ Q\mathbb{A}_r=\{T:\ T \text{ is an invertible operator and} \ \|T\|, \|T^{-…
math.FA2026
Rigidity of the structured singular value and applications
Sourav Pal, Nitin Tomar
The structured singular value for a linear subspace of is defined by \[ μ_E(A)=1 / \inf\{\|X\| \ : \ X \in E, \ \det(I_n-AX)=0 \} \quad (A \in M_n(\mathb…
math.FA2026
Spectral constants for the quantum annulus
Sourav Pal, James E. Pascoe, Nitin Tomar
We find several new estimates for the spectral constants for which a closed annulus or closed polyannulus is a…