Topological aspects of q-regular measures
Richard Alò, André de Korvin, Laurence Kunes (1973)
Studia Mathematica
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Richard Alò, André de Korvin, Laurence Kunes (1973)
Studia Mathematica
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J. Crenshaw, R. Kirk (1979)
Studia Mathematica
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R. Kirk, J. Crenshaw (1976)
Studia Mathematica
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de Lucia, Paolo, Pap, Endre (2003)
Novi Sad Journal of Mathematics
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G. Jogesh Babu (1976)
Acta Arithmetica
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Kari Ylinen (1993)
Studia Mathematica
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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.
Tim Traynor (1972)
Annales de l'institut Fourier
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Let be an additive function on a ring of sets, with values in a commutative Hausdorff topological group, and let be an ideal of . Conditions are given under which can be represented as the sum of two additive functions, one essentially supported on , the other vanishing on . The result is used to obtain two Lebesgue-type decomposition theorems. Other applications and the corresponding theory for outer measures are also indicated.
J. Uhl (1967)
Studia Mathematica
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Utpal Bandyopadhyay (1973)
Studia Mathematica
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Goeffrey Fox, Pedro Morales (1973)
Fundamenta Mathematicae
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