The single-point spectrum operators satisfying Ritt's resolvent condition
Studia Mathematica, Tome 145 (2001) no. 2, pp. 135-142

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It is shown that an operator with the properties mentioned in the title does exist in the space $L_p(0,1)$, $1\leq p\leq \infty $. 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.
DOI : 10.4064/sm145-2-3
Keywords: shown operator properties mentioned title does exist space leq leq infty maximal sector extended resolvent condition prescribed priori jointly corresponding order exponential growth resolvent complementary sector

Yu. Lyubich 1

1 Department of Mathematics Technion 32000 Haifa, Israel
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Yu. Lyubich. The single-point spectrum operators
satisfying Ritt's resolvent condition. Studia Mathematica, Tome 145 (2001) no. 2, pp. 135-142. doi: 10.4064/sm145-2-3

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