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

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    • Keywords


      Compact interpolation; weakly closed $\mathcal{T}(\mathcal{N})$-modules.

    • Abstract


      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 $Tx=y$.

    • Author Affiliations


      Dong Zhe1 Jiang Hai-Yi1

      1. Department of Mathematics, Zhejiang University, Hangzhou 310027, People’s Republic of China
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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