Anjian Xu

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20142026

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4 papers · 1 filter

math.FA2026

Hilbert-Schmidt Norms of Self-Commutator and Cross-Commutator on $N_{η}$ -type Quotient Modules in Polydisc

Anjian Xu, Yuchao Xiang

Let $η_{1}, \dots, η_{d}$ be nonconstant one-variable inner functions satisfying $η_{i} (0) = 0$ for all $1 \leq i \leq d$ . Denote by $M_{η}$ the submodule of the Hardy space $H^{2}(\mathb…

math.FA2022

Characterizations of functions in wandering subspaces of the Bergman Shift via the Hardy space of the Bidisc

Shunhua Sun, Anjian Xu

Let $W$ be the corresponding wandering subspace of an invariant subspace of the Bergman shift. By identifying the Bergman space with $H^{2} (D^{2}) ⊖ [z - w]$ , a su…

math.FA2014

Generalized Bundle Shift with Application to Multiplication operator on the Bergman space

Ronald G. Douglas, Dinesh Kumar Keshari, Anjian Xu

Following upon results of Putinar, Sun, Wang, Zheng and the first author, we provide models for the restrictions of the multiplication by a finite Balschke product on the Bergman s…

math.FA2014

Transitivity and bundle shifts

Ronald G. Douglas, Anjian Xu

A subalgebra $A$ of the algebra $B (H)$ of bounded linear operators on a separable Hilbert space $H$ is said to be catalytic if every transitive subalgebra $\mat…

Hilbert-Schmidt Norms of Self-Commutator and Cross-Commutator on Nη​-type Quotient Modules in Polydisc

Characterizations of functions in wandering subspaces of the Bergman Shift via the Hardy space of the Bidisc

Generalized Bundle Shift with Application to Multiplication operator on the Bergman space

Transitivity and bundle shifts

Hilbert-Schmidt Norms of Self-Commutator and Cross-Commutator on $N_{η}$ -type Quotient Modules in Polydisc