On class A operators
Sungeun Jung ; Eungil Ko ; Mee-Jung Lee
Studia Mathematica, Tome 196 (2010), p. 249-260 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:285575 
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Sungeun Jung; Eungil Ko; Mee-Jung Lee. On class A operators. Studia Mathematica, Tome 196 (2010) pp. 249-260. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm198-3-4/