Riesz-Presentation of Additive and -Additive Set-Valued Measures.
Werner Rupp (1979)
Mathematische Annalen
Similarity:
Werner Rupp (1979)
Mathematische Annalen
Similarity:
Bogdan Pawlik (1987)
Colloquium Mathematicae
Similarity:
Marek Kanter (1976)
Colloquium Mathematicae
Similarity:
Baltasar Rodríguez-Salinas (1998)
Collectanea Mathematica
Similarity:
The extension of finitely additive measures that are invariant under a group permutations or mappings has already been widely studied. We have dealt with this problem previously from the point of view of Hahn-Banach's theorem and von Neumann's measurable groups theory. In this paper we construct countably additive measures from a close point of view, different to that of Haar's Measure Theory.
Swartz, Charles (1981)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Roger Crocker (1969)
Colloquium Mathematicae
Similarity:
A. Kamiński, P. N. Rathie, Lilian T. Sheng (1984)
Annales Polonici Mathematici
Similarity:
Elizabeth M. Bator, Paul W. Lewis, Dawn R. Slavens (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
Emmanuele showed that if Σ is a σ-algebra of sets, X is a Banach space, and μ: Σ → X is countably additive with finite variation, then μ(Σ) is a Dunford-Pettis set. An extension of this theorem to the setting of bounded and finitely additive vector measures is established. A new characterization of strongly bounded operators on abstract continuous function spaces is given. This characterization motivates the study of the set of (sb) operators. This class of maps is used to extend results...
Charles W. Swartz (1985)
Mathematica Slovaca
Similarity:
W. Narkiewicz (1974)
Colloquium Mathematicae
Similarity:
I. Kátai (1977)
Colloquium Mathematicae
Similarity:
S. Gangopadhyay, B. Rao (1999)
Colloquium Mathematicae
Similarity:
Kari Ylinen (1993)
Studia Mathematica
Similarity:
Separately σ-additive and separately finitely additive complex functions on the Cartesian product of two algebras of sets are represented in terms of spectral measures and their finitely additive counterparts. Applications of the techniques include a bounded joint convergence theorem for bimeasure integration, characterizations of positive-definite bimeasures, and a theorem on decomposing a bimeasure into a linear combination of positive-definite ones.