• Dong Zhe

Articles written in Proceedings – Mathematical Sciences

• Rank-one operators in reflexive one-sidedA-submodules

In this paper, we first characterize reflexive one-sided A-submodulesU of a unital operator algebraA inB(H) completely. Furthermore we investigate the invariant subspace lattice LatR and the reflexive hull RefR, whereR is the submodule generated by rank-one operators inU; in particular, ifL is a subspace lattice, we obtain when the rank-one algebraR of AlgL is big enough to determined AlgL in the following senses: AlgL = Alg LatR and AlgL = RefR.

• Compact Solutions to the Equation $Tx = y$ in a Weakly Closed $\mathcal{T}(\mathcal{N})$-Module

Given two vectors $x,y$ in a Hilbert space and a weakly closed $\mathcal{T}(\mathcal{N})$-module $\mathcal{U}$, we provide a necessary and sufficient condition for the existence of a compact operator 𝑇 in $\mathcal{U}$ satisfying $Tx=y$.

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019

Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.