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    • Keywords


      Unbounded normal operator; abelian von Neumann algebra; bounding sequence.

    • Abstract


      We prove the following generalization of the Fuglede–Puntam theorem. Let 𝑁 be an unbounded normal operator in the Hilbert space, and let 𝐴 be an unbounded self-adjoint operator such that $D(N)\subseteq D(A)$. Then, $AN\subseteq N^∗A\Rightarrow AN^∗\subseteq NA$.

    • Author Affiliations


      Fotios C Paliogiannis1

      1. Department of Mathematics, St. Francis College, 180 Remsen Street, Brooklyn Heights, New York 11201, USA
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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