Holomorphic functional calculus in A-pseudoconvex algebras

• Autorzy: Łuczak M.
• Języki publikacji: EN

Abstrakty

EN

We Defie and study a holomorphic functional calculus for a single element In complex and real complete A-pseudoalgebras 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.

Słowa kluczowe

EN

holomorphic functional calculus; spectra mapping theorem; A-pseudoconvex algebra; real algebra

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2005
• Tom: Vol. 45, [Z] 2
• Strony: 161--169
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Łuczak M.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University and Technical University of Koszalin, Department of Civil and Environmental Engineering,

Bibliografia

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