Boundary values of analytic semigroups and associated norm estimates

Isabelle Chalendar; Jean Esterle; Jonathan R. Partington

Banach Center Publications (2010)

  • Volume: 91, Issue: 1, page 87-103
  • ISSN: 0137-6934

Abstract

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The theory of quasimultipliers in Banach algebras is developed in order to provide a mechanism for defining the boundary values of analytic semigroups on a sector in the complex plane. Then, some methods are presented for deriving lower estimates for operators defined in terms of quasinilpotent semigroups using techniques from the theory of complex analysis.

How to cite

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Isabelle Chalendar, Jean Esterle, and Jonathan R. Partington. "Boundary values of analytic semigroups and associated norm estimates." Banach Center Publications 91.1 (2010): 87-103. <http://eudml.org/doc/282146>.

@article{IsabelleChalendar2010,
abstract = {The theory of quasimultipliers in Banach algebras is developed in order to provide a mechanism for defining the boundary values of analytic semigroups on a sector in the complex plane. Then, some methods are presented for deriving lower estimates for operators defined in terms of quasinilpotent semigroups using techniques from the theory of complex analysis.},
author = {Isabelle Chalendar, Jean Esterle, Jonathan R. Partington},
journal = {Banach Center Publications},
keywords = {analytic semigroups; quasimultipliers; sectorial semigroups},
language = {eng},
number = {1},
pages = {87-103},
title = {Boundary values of analytic semigroups and associated norm estimates},
url = {http://eudml.org/doc/282146},
volume = {91},
year = {2010},
}

TY - JOUR
AU - Isabelle Chalendar
AU - Jean Esterle
AU - Jonathan R. Partington
TI - Boundary values of analytic semigroups and associated norm estimates
JO - Banach Center Publications
PY - 2010
VL - 91
IS - 1
SP - 87
EP - 103
AB - The theory of quasimultipliers in Banach algebras is developed in order to provide a mechanism for defining the boundary values of analytic semigroups on a sector in the complex plane. Then, some methods are presented for deriving lower estimates for operators defined in terms of quasinilpotent semigroups using techniques from the theory of complex analysis.
LA - eng
KW - analytic semigroups; quasimultipliers; sectorial semigroups
UR - http://eudml.org/doc/282146
ER -

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