28 citations · 67 across the 7 of their papers we have counts for
8 papers · 1 filter
Solution of the Reconstruction-of-the-Measure Problem for Canonical Invariant Subspaces
Raul E. Curto, Sang Hoon Lee, Jasang Yoon
We study the Reconstruction-of-the-Measure Problem (ROMP) for commuting 2-variable weighted shifts , when the initial data are given as the Berger measure of the restric…
Polynomial embeddings of unilateral weighted shifts into -variable weighted shifts
Raul E. Curto, Sang Hoon Lee, Jasang Yoon
Given a bounded sequence ωof positive numbers and its associated unilateral weighted shift W_ω acting on the Hilbert space \ell^2(\mathbb{Z}_+), we consider natural representations…
The Spectral Picture and Joint Spectral Radius of the Generalized Spherical Aluthge Transform
Chafiq Benhida, Raul E. Curto, Sang Hoon Lee +1
For an arbitrary commuting --tuple $\bT$ of Hilbert space operators, we fully determine the spectral picture of the generalized spherical Aluthge transform $\dbT$ and we prove t…
Quasinormality of powers of commuting pairs of bounded operators
Raul E. Curto, Sang Hoon Lee, Jasang Yoon
We study jointly quasinormal and spherically quasinormal pairs of commuting operators on Hilbert space, as well as their powers. We first prove that, up to a constant multiple, the…
Joint spectra of spherical Aluthge transforms of commuting n-tuples of Hilbert space operators
Chafiq Benhida, Raul E. Curto, Sang Hoon Lee +1
Let be a commuting -tuple of operators on a Hilbert space , and let be its canonical join…
An answer to a question of A. Lubin: The lifting problem for commuting subnormals
Sang Hoon Lee, Woo Young Lee, Jasang Yoon
The subnormality for the sum of commuting subnormal operators does not guarantee the existence of commuting normal extensions.
Subnormality for arbitrary powers of 2-variable weighted shifts whose restrictions to a large invariant subspace are tensor products
Raul E. Curto, Sang Hoon Lee, Jasang Yoon
The Lifting Problem for Commuting Subnormals (LPCS) asks for necessary and sufficient conditions for a pair of subnormal operators on Hilbert space to admit commuting normal extens…
A new approach to the 2-variable subnormal completion problem
Raul E. Curto, Sang Hoon Lee, Jasang Yoon
We study the Subnormal Completion Problem (SCP) for 2-variable weighted shifts. We use tools and techniques from the theory of truncated moment problems to give a general strategy…