Coincidences in the values of the Euler and Carmichael functions
William D. Banks, John B. Friedlander, Florian Luca, Francesco Pappalardi, Igor E. Shparlinski (2006)
Acta Arithmetica
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William D. Banks, John B. Friedlander, Florian Luca, Francesco Pappalardi, Igor E. Shparlinski (2006)
Acta Arithmetica
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B. J. Cole, Theodore W. Gamelin (1985)
Annales de l'institut Fourier
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We consider the set of complex-valued homomorphisms of a uniform algebra which are weak-star continuous with respect to a fixed measure . The -parts of are defined, and a decomposition theorem for measures in is obtained, in which constituent summands are mutually absolutely continuous with respect to representing measures. The set is studied for -invariant algebras on compact subsets of the complex plane and also for the infinite polydisc algebra.
Kenny Koffi Siggini (2008)
Bulletin of the Polish Academy of Sciences. Mathematics
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We prove an analogue of Topsøe's criterion for relative compactness of a family of probability measures which are regular with respect to a family sets. We consider measures whose values are compact convex sets in a locally convex linear topological space.
Tasoev, B.G. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Javad Laali, Mina Ettefagh (2008)
Colloquium Mathematicae
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We study the weak amenability of a general measure algebra M(X) on a locally compact space X. First we show that not all general measure multiplications are separately weak* continuous; moreover, under certain conditions, weak amenability of M(X)** implies weak amenability of M(X). The main result of this paper states that there is a general measure algebra M(X) such that M(X) and M(X)** are weakly amenable without X being a discrete topological space.
Florian Luca, Pantelimon Stănică (2007)
Acta Arithmetica
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William D. Banks, Florian Luca (2005)
Acta Arithmetica
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Ninulescu, Luminiṭa Lemnete (2000)
APPS. Applied Sciences
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Ján Haluška (1991)
Acta Universitatis Carolinae. Mathematica et Physica
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M. Sychev (1998)
Annales de l'I.H.P. Analyse non linéaire
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Igor Kluvánek (1977)
Annales de l'institut Fourier
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Every conical measure on a weak complete space is represented as integration with respect to a -additive measure on the cylindrical -algebra in . The connection between conical measures on and -valued measures gives then some sufficient conditions for the representing measure to be finite.