# Holomorphic functional calculus in $A$-pseudoconvex algebras

Commentationes Mathematicae (2005)

- Volume: 45, Issue: 2
- ISSN: 2080-1211

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topMaciej 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 -

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