Fonctions analytiques de contractions topologiques dans les algèbres hermitiennes.

Abdellah El Kinani

Collectanea Mathematica (1990)

  • Volume: 41, Issue: 3, page 197-216
  • ISSN: 0010-0757

Abstract

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In this paper we define a functional calculus, for harmonic vector valued functions, in Banach algebras with continuous involution. Using this calculus, we generalize in two settings the results of Shih and Tan on analytic functions of topological proper contractions to analytic vector valued functions in Hermitian Banach algebras. We also make an extension of other results such as Schwarz's lemma and Pick's theorem.

How to cite

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El Kinani, Abdellah. "Fonctions analytiques de contractions topologiques dans les algèbres hermitiennes.." Collectanea Mathematica 41.3 (1990): 197-216. <http://eudml.org/doc/42364>.

@article{ElKinani1990,
author = {El Kinani, Abdellah},
journal = {Collectanea Mathematica},
keywords = {Algebra de Banach; Topología algebraica; Funciones analíticas; functional calculus; harmonic vector valued functions; Banach algebras with continuous involution; analytic functions of topological proper contractions; analytic vector valued functions; Hermitian Banach algebras; Schwarz's lemma; Pick's theorem},
language = {fre},
number = {3},
pages = {197-216},
title = {Fonctions analytiques de contractions topologiques dans les algèbres hermitiennes.},
url = {http://eudml.org/doc/42364},
volume = {41},
year = {1990},
}

TY - JOUR
AU - El Kinani, Abdellah
TI - Fonctions analytiques de contractions topologiques dans les algèbres hermitiennes.
JO - Collectanea Mathematica
PY - 1990
VL - 41
IS - 3
SP - 197
EP - 216
LA - fre
KW - Algebra de Banach; Topología algebraica; Funciones analíticas; functional calculus; harmonic vector valued functions; Banach algebras with continuous involution; analytic functions of topological proper contractions; analytic vector valued functions; Hermitian Banach algebras; Schwarz's lemma; Pick's theorem
UR - http://eudml.org/doc/42364
ER -

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