H. Dan

activity

20142026

most citedThe Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk

3 citations · 3 across the 9 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.FA2020

Projections in Toeplitz algebra

Hui Dan, Xuanhao Ding, Kunyu Guo +1

Motivated by Barr{\'ı}a-Halmos's \cite[Question 19]{barria1982asymptotic} and Halmos's \cite[Problem 237]{Halmos1978A}, we explore projections in Toeplitz algebra on the Hardy spac…

math.FA2020

Power dilation systems ${f (z^{k})}_{k \in N}$ in Dirichlet-type spaces

Hui Dan, Kunyu Guo

In this paper, we concentrate on power dilation systems ${f (z^{k})}_{k \in N}$ in Dirichlet-type spaces $D_{t} (t \in R)$ . When $t \neq = 0$ , we prove that $\{f(…

math.CA2020

The Kozlov completeness problem

Hui Dan, Kunyu Guo

This paper concerns a long-standing problem raised by Kozlov on completeness of the dilation systems ${1_{(α, β)} (k x) : k = 1, 2, \dots}$ generated by odd periodic extensions…

Projections in Toeplitz algebra

Power dilation systems {f(zk)}k∈N​ in Dirichlet-type spaces

The Kozlov completeness problem

Power dilation systems ${f (z^{k})}_{k \in N}$ in Dirichlet-type spaces