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Zbl 0873.46027
Akkar, M.; Arroub, H.
Applications of harmonic functional calculus in a quotient involutive Banach algebra. (Applications du calcul fonctionnel harmonique dans une algèbre de Banach involutive quotient.) (French)
[J] Bull. Belg. Math. Soc. - Simon Stevin 3, No.5, 595-602 (1996). ISSN 1370-1444

Summary: We define the spectral radius and Ptak's function on a quotient involutive Banach algebra and we extend certains results of V. Ptak to these quotients. As an application of harmonic functional calculus we obtain theorems similar to those of K. Fan and von Neumann.
MSC 2000:
*46H30 Functional calculus in topological algebras
46K05 General theory of rings with involution

Keywords: spectral radius; Ptak's function; quotient involutive Banach algebra; harmonic functional calculus

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