Approximate isometries in Hilbert C ∗ - modules ∗

نویسندگان

  • Alireza Kamel Mirmostafaee
  • A. K. Mirmostafaee
چکیده

We use the fixed point alternative theorem to prove that, under suitable conditions, every A-valued approximate isometry on a Hilbert C∗-module over the C∗-algebra A can be approximated by a unique A-valued isometry. AMS subject classifications: Primary 39B52, 39B82, 46B04, 46L08; Secondary 47H10

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تاریخ انتشار 2009