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Compactness conditions for elementary operators

Tom 178 / 2007

Matej Brešar, Yuri V. Turovskii Studia Mathematica 178 (2007), 1-18 MSC: 47B47, 47B48, 47B07, 46H10. DOI: 10.4064/sm178-1-1

Streszczenie

Various topics concerning compact elementary operators on Banach algebras are studied: their ranges, their coefficients, and the structure of algebras having nontrivial compact elementary operators. In the first part of the paper we consider separately elementary operators of certain simple types. In the second part we obtain our main results which deal with general elementary operators.

Autorzy

  • Matej BrešarDepartment of Mathematics
    University of Maribor
    PEF, Koroška 160
    2000 Maribor, Slovenia
    e-mail
  • Yuri V. TurovskiiInstitute of Mathematics and Mechanics
    National Academy of Sciences of Azerbaijan
    F. Agaev St. 9
    Baku AZ1141, Azerbaijan

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