71 citations · 454 across the 48 of their papers we have counts for
5 papers · 1 filter
Spectral sets and distinguished varieties in the symmetrized bidisc
Sourav Pal, Orr Shalit
We show that for every pair of matrices (S,P), having the closed symmetrized bidisc as a spectral set, there is a one dimensional complex algebraic variety in such that…
Essential normality, essential norms and hyperrigidity
Matthew Kennedy, Orr Shalit
Let denote the compression of the -shift to the complement of a homogeneous ideal of . Arveson conjectured that is…
Operator theory and function theory in Drury-Arveson space and its quotients
Michael Hartz, Orr Shalit
The Drury-Arveson space , also known as symmetric Fock space or the -shift space, is a Hilbert function space that has a natural -tuple of operators acting on it, whic…
Multipliers of embedded discs
Kenneth R. Davidson, Michael Hartz, Orr Shalit
We consider a number of examples of multiplier algebras on Hilbert spaces associated to discs embedded into a complex ball in order to examine the isomorphism problem for multiplie…
A sneaky proof of the maximum modulus principle
Orr Shalit
A proof for the maximum modulus principle (in the unit disc) is presented. This proof is unusual in that it is based on linear algebra.