Holomorphic functional calculus in $A$-pseudoconvex algebras

Maciej Łuczak. "Holomorphic functional calculus in $A$-pseudoconvex algebras." Commentationes Mathematicae 45.2 (2005): null. <http://eudml.org/doc/291789>.

@article{MaciejŁuczak2005,
abstract = {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.},
author = {Maciej Łuczak},
journal = {Commentationes Mathematicae},
keywords = {Holomorphic functional calculus; spectral mapping theorem; A-pseudoconvex algebra; real algebra},
language = {eng},
number = {2},
pages = {null},
title = {Holomorphic functional calculus in $A$-pseudoconvex algebras},
url = {http://eudml.org/doc/291789},
volume = {45},
year = {2005},
}

TY - JOUR
AU - Maciej Łuczak
TI - Holomorphic functional calculus in $A$-pseudoconvex algebras
JO - Commentationes Mathematicae
PY - 2005
VL - 45
IS - 2
SP - null
AB - 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.
LA - eng
KW - Holomorphic functional calculus; spectral mapping theorem; A-pseudoconvex algebra; real algebra
UR - http://eudml.org/doc/291789
ER -