Resolvent conditions and powers of operators

Olavi Nevanlinna

Studia Mathematica (2001)

  • Volume: 145, Issue: 2, page 113-134
  • ISSN: 0039-3223

Abstract

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We discuss the relation between the growth of the resolvent near the unit circle and bounds for the powers of the operator. Resolvent conditions like those of Ritt and Kreiss are combined with growth conditions measuring the resolvent as a meromorphic function.

How to cite

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Olavi Nevanlinna. "Resolvent conditions and powers of operators." Studia Mathematica 145.2 (2001): 113-134. <http://eudml.org/doc/284498>.

@article{OlaviNevanlinna2001,
abstract = {We discuss the relation between the growth of the resolvent near the unit circle and bounds for the powers of the operator. Resolvent conditions like those of Ritt and Kreiss are combined with growth conditions measuring the resolvent as a meromorphic function.},
author = {Olavi Nevanlinna},
journal = {Studia Mathematica},
keywords = {Ritt resolvent condition; bounded characteristics; Kreiss resolvent condition; quasinilpotent operators},
language = {eng},
number = {2},
pages = {113-134},
title = {Resolvent conditions and powers of operators},
url = {http://eudml.org/doc/284498},
volume = {145},
year = {2001},
}

TY - JOUR
AU - Olavi Nevanlinna
TI - Resolvent conditions and powers of operators
JO - Studia Mathematica
PY - 2001
VL - 145
IS - 2
SP - 113
EP - 134
AB - We discuss the relation between the growth of the resolvent near the unit circle and bounds for the powers of the operator. Resolvent conditions like those of Ritt and Kreiss are combined with growth conditions measuring the resolvent as a meromorphic function.
LA - eng
KW - Ritt resolvent condition; bounded characteristics; Kreiss resolvent condition; quasinilpotent operators
UR - http://eudml.org/doc/284498
ER -

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