The single-point spectrum operators
satisfying Ritt's resolvent condition
Studia Mathematica, Tome 145 (2001) no. 2, pp. 135-142
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.
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
Affiliations des auteurs :
Yu. Lyubich  1
@article{10_4064_sm145_2_3,
author = {Yu. Lyubich},
title = {The single-point spectrum operators
satisfying {Ritt's} resolvent condition},
journal = {Studia Mathematica},
pages = {135--142},
year = {2001},
volume = {145},
number = {2},
doi = {10.4064/sm145-2-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm145-2-3/}
}
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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