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

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/117/04/0495-0503

    • 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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