The single-point spectrum operators satisfying Ritt's resolvent condition

Yu. Lyubich

Studia Mathematica (2001)

  • Volume: 145, Issue: 2, page 135-142
  • ISSN: 0039-3223

Abstract

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It is shown that an operator with the properties mentioned in the title does exist in the space L p ( 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.

How to cite

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Yu. Lyubich. "The single-point spectrum operators satisfying Ritt's resolvent condition." Studia Mathematica 145.2 (2001): 135-142. <http://eudml.org/doc/284776>.

@article{Yu2001,
abstract = {It is shown that an operator with the properties mentioned in the title does exist in the space $L_\{p\}(0,1)$, 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.},
author = {Yu. Lyubich},
journal = {Studia Mathematica},
keywords = {Ritt's resolvent condition; point spectrum; exponential growth},
language = {eng},
number = {2},
pages = {135-142},
title = {The single-point spectrum operators satisfying Ritt's resolvent condition},
url = {http://eudml.org/doc/284776},
volume = {145},
year = {2001},
}

TY - JOUR
AU - Yu. Lyubich
TI - The single-point spectrum operators satisfying Ritt's resolvent condition
JO - Studia Mathematica
PY - 2001
VL - 145
IS - 2
SP - 135
EP - 142
AB - It is shown that an operator with the properties mentioned in the title does exist in the space $L_{p}(0,1)$, 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.
LA - eng
KW - Ritt's resolvent condition; point spectrum; exponential growth
UR - http://eudml.org/doc/284776
ER -

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