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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/107/02/0201-0212

    • Keywords

       

      Random operator; normal operator; compact normal operator

    • Abstract

       

      We investigate the commutation between a continuous linear random operator and a continuous linear deterministic operator on a Banach space. From this we obtain probabilistic versions of theorems by Fuglede and Putnam, both of them dealing with the commutation between continuous linear operators with continuous normal operators on a Hilbert space.

    • Author Affiliations

       

      F Martínez1 A R Villena1 2

      1. Departamento de Estadistica e I.O, Universidad de Granada, Granada - 18071, Spain
      2. Departamento de Análisis Matemático, Universidad de Granada, Granada - 18071, Spain

    • Dates

       
      Published
      May 1997
      Manuscript received
      3 April 1996
      Manuscript revised
      5 December 1996
      Final version published online
      1 May 1997

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