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math.FA2026
On a minimal Andô dilation for a pair of strict contractions
Swapan Jana, Sourav Pal
The isometric dilation of a pair of commuting contractions due to Andô is not minimal. We modify Andô's dilation and construct a minimal isometric dilation on $\mathcal H \oplus_…
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(\mat…