• On Commuting Operator Exponentials, II

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/123/01/0027-0031

    • Keywords

       

      Self-adjoint and normal operator; commuting normal operator exponentials; Borel functional calculus.

    • Abstract

       

      We prove that, under sufficient conditions on the spectra,

      $$e^M e^N\subseteq e^N e^M\Rightarrow MN\subseteq NM,$$

      where 𝑁 is an unbounded normal operator and 𝑀 is a bounded normal operator in the Hilbert space.

    • 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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