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Holomorphic functional calculus in \(A\)-pseudoconvex algebras

100%

Łuczak M.

Commentationes Mathematicae

2005

tom 45

nr 2

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.

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A characterization of linear-multiplicative functionals in topological algebras

100%

Łuczak M.

Commentationes Mathematicae

2006

tom 46

nr 1

The classical Gleason–Kahane–Żelazko theorem for complex Banach algebras was generalized for not necessary linear functionals by Kowalski and Słodkowski. We prove a version of the Kowalski–Słodkowski theorem for real Banach algebras and also for real and complex \(A\)-pseudoconvex algebras.

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2 Commentationes Mathematicae

2 Łuczak M.

1 2006

1 2005

Wyniki wyszukiwania

Holomorphic functional calculus in \(A\)-pseudoconvex algebras

A characterization of linear-multiplicative functionals in topological algebras