18 citations · 21 across the 6 of their papers we have counts for
4 papers · 1 filter
Cayley--Hamilton tuples: an interplay between algebraic varieties and joint spectra
B. Krishna Das, Poornendu Kumar, Haripada Sau
We introduce the notion of Cayley--Hamilton tuples: these are commuting operator tuples that are annihilated by a non-zero polynomial and such that its Taylor joint spectrum coinci…
Annihilating ideals and Agler--McCarthy spectral varieties in the bidisc
Raphaël Clouâtre, Poornendu Kumar
The closed unit bidisc is known to be a spectral set for any pair of commuting contractions. When each is pure and has finite defect, th…
Distinguished varieties and the Nevanlinna-Pick interpolation problem on the symmetrized bidisk
B. Krishna Das, Poornendu Kumar, Haripada Sau
Starting with a solvable Nevanlinna-Pick interpolation problem with the initial data coming from the symmetrized bidisk, this paper studies the corresponding uniqueness set, i.e.,…
Distinguished Varieties Through the Berger--Coburn--Lebow Theorem
Tirthankar Bhattacharyya, Poornendu Kumar, Haripada Sau
A distinguished algebraic variety in has been the focus of much research in recent years because of good reasons. This note gives a different perspective. (1) We fin…