The single-point spectrum operators satisfying Ritt's resolvent condition
Yu. Lyubich
Studia Mathematica, Tome 147 (2001), p. 135-142 / Harvested from The Polish Digital Mathematics Library
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It is shown that an operator with the properties mentioned in the title does exist in the space Lp(0,1), 1 ≤ p ≤ ∞. The maximal sector for the extended resolvent condition can be prescribed a priori jointly with the corresponding order of the exponential growth of the resolvent in the complementary sector.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:284776 
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Yu. Lyubich. The single-point spectrum operators satisfying Ritt's resolvent condition. Studia Mathematica, Tome 147 (2001) pp. 135-142. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm145-2-3/