On class A operators
Tom 198 / 2010
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.
