1 citations · 1 across the 3 of their papers we have counts for
5 papers
Asymptotic Rigidity and Boundary Structure of Yang's Numerical Invariants for the Bidisk Submodules
Yin Liu, Yufeng Lu, Yixin Yang
Let \[ M_{k,\ell}=[z^k-w^\ell]\subset H^2(\mathbb D^2), \qquad k,\ell\in\mathbb N,\quad k\ne\ell . \] We study the large-index asymptotics of Yang's numerical invariants and the bo…
Numerical Invariants and Parameter Recovery for Quasi-Homogeneous Submodules
Yin Liu, Yufeng Lu, Yixin Yang
We study Yang's higher numerical invariants for the quasi-homogeneous submodules \[ M_{k,\ell}=[z^k-w^\ell]\subset H^2(\mathbb D^2), \qquad k,\ell\in\mathbb N,\quad k\neq\ell. \] T…
Compactness of products and commutators of inner projections
Peiran Zhang, Roumei Tian, Yufeng Lu +2
In this paper, we study the compactness of the product and the commutator of two inner projections on the Hardy spaces over the unit disk and the polydisc. For the single-variable…
Spectral dynamics for the infinite dihedral group and the lamplighter group
Chao Zu, Yixin Yang, Yufeng Lu
For a tuple of elements in a Banach algebra , its projective (joint) spectrum is the collection of such that $A(z)…
A geometric approach to the compressed shift operator on the Hardy space over the bidisk
Yufeng Lu, Yixin Yang, Chao Zu
This paper studies the compressed shift operator on the Hardy space over the bidisk via the geometric approach. We calculate the spectrum and essential spectrum of on t…