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On class A operators

Tom 198 / 2010

Sungeun Jung, Eungil Ko, Mee-Jung Lee Studia Mathematica 198 (2010), 249-260 MSC: Primary 47B20; Secondary 47A11. DOI: 10.4064/sm198-3-4

Streszczenie

We show that every class A operator has a scalar extension. In particular, such operators with rich spectra have nontrivial invariant subspaces. Also we give some spectral properties of the scalar extension of a class A operator. Finally, we show that every class A operator is nonhypertransitive.

Autorzy

  • Sungeun JungDepartment of Mathematics
    Ewha Women's University
    120-750 Seoul, Korea
    e-mail
  • Eungil KoDepartment of Mathematics
    Ewha Women's University
    120-750 Seoul, Korea
    e-mail
  • Mee-Jung LeeDepartment of Mathematics
    Ewha Women's University
    120-750 Seoul, Korea
    e-mail

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