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On class A operators

Sungeun JungEungil KoMee-Jung Lee — 2010

Studia Mathematica

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.

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