DOUBLE COMMUTANTS OF ISOMETRIES

Abstract

Normal operators N satisfying \[{\mathfrak{A}_N} = {\mathfrak{A}''_N}\] are characterized in terms of invariant subspaces. It is shown that non-unitary isometries V always satisfy \[{\mathfrak{A}_V} = {\mathfrak{A}''_V}\]. Thus, since a unitary operator is normal, a complete description of isometries satisfying a double commutant theorem is achieved.

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Details 詳細情報について

  • CRID
    1390282680091633536
  • NII Article ID
    130001493008
  • DOI
    10.2748/tmj/1178241445
  • ISSN
    2186585X
    00408735
  • MRID
    322560
  • Text Lang
    en
  • Data Source
    • JaLC
    • Crossref
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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