Abstract

This work proves that if T belong to the class M-A(n*) operator and S* is an invertible operator belonging to the same class such that TX=XS, then T*X=XS*, where X is a Hilbert-Schmidt operator.

Keywords

  • Hilbert space
  • Fuglede-Putman
  • A(n*) operators
  • 1- Introduction: Let 𝐻 denote a separable complex Hilbert space characterized by the inner product <βˆ™
  • βˆ™>

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