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math.FA2020
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…
math.FA2020★ 1 cited
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…
math.FA2020★ 15 cited
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…