Geodesic
Holomorphic functional calculus in \(A\)-pseudoconvex algebras
Commentationes Mathematicae, Tome 45 (2005) no. 2, pp. 161-169.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

We define and study a holomorphic functional calculus for a single element in complex and real complete A-pseudoconvex algebras with unit. As a consequence of the main result we obtain the spectral mapping theorem and existence of the logarithm and the nth root of an algebra element.
DOI : 10.14708/cm.v45i2.5197
Mots-clés : Holomorphic functional calculus, spectral mapping theorem, A-pseudoconvex algebra, real algebra 
@article{10_14708_cm_v45i2_5197,
     author = {Maciej {\L}uczak},
     title = {Holomorphic functional calculus in {\(A\)-pseudoconvex} algebras},
     journal = {Commentationes Mathematicae},
     pages = { 161--169},
     publisher = {mathdoc},
     volume = {45},
     number = {2},
     year = {2005},
     doi = {10.14708/cm.v45i2.5197},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/cm.v45i2.5197/}
}
TY  - JOUR
AU  - Maciej Łuczak
TI  - Holomorphic functional calculus in \(A\)-pseudoconvex algebras
JO  - Commentationes Mathematicae
PY  - 2005
SP  -  161
EP  - 169
VL  - 45
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/cm.v45i2.5197/
DO  - 10.14708/cm.v45i2.5197
LA  - pl
ID  - 10_14708_cm_v45i2_5197
ER  - 
%0 Journal Article
%A Maciej Łuczak
%T Holomorphic functional calculus in \(A\)-pseudoconvex algebras
%J Commentationes Mathematicae
%D 2005
%P  161-169
%V 45
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/cm.v45i2.5197/
%R 10.14708/cm.v45i2.5197
%G pl
%F 10_14708_cm_v45i2_5197
Maciej Łuczak. Holomorphic functional calculus in \(A\)-pseudoconvex algebras. Commentationes Mathematicae, Tome 45 (2005) no. 2, pp.  161-169. doi : 10.14708/cm.v45i2.5197. http://geodesic.mathdoc.fr/articles/10.14708/cm.v45i2.5197/

Cité par Sources :