×

zbMATH — the first resource for mathematics

The Lebesgue decomposition for group-valued set functions. (English) Zbl 0334.28010

MSC:
28B05 Vector-valued set functions, measures and integrals
46G10 Vector-valued measures and integration
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Richard B. Darst, A decomposition of finitely additive set functions, J. Reine Angew. Math. 210 (1962), 31 – 37. · Zbl 0105.26904
[2] L. Drewnowski, Topological rings of sets, continuous set functions, integration. I, II, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 20 (1972), 269 – 276; ibid. 20 (1972), 277 – 286 (English, with Russian summary). · Zbl 0249.28004
[3] L. Drewnowski, Decompositions of set functions, Studia Math. 48 (1973), 23 – 48. · Zbl 0269.28003
[4] Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, With the assistance of W. G. Bade and R. G. Bartle. Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers, Ltd., London, 1958. · Zbl 0084.10402
[5] C. E. Rickart, Decomposition of additive set functions, Duke Math. J. 10 (1943), 653 – 665. · Zbl 0063.06492
[6] Maurice Sion, Outer measures with values in a topological group, Proc. London Math. Soc. (3) 19 (1969), 89 – 106. · Zbl 0167.14503
[7] Tim Traynor, Decomposition of group-valued additive set functions, Ann. Inst. Fourier (Grenoble) 22 (1972), no. 3, 131 – 140 (English, with French summary). · Zbl 0228.28004
[8] Tim Traynor, A general Hewitt-Yosida decomposition, Canad. J. Math. 24 (1972), 1164 – 1169. · Zbl 0219.46034
[9] Tim Traynor, Absolute continuity for group-valued measures, Canad. Math. Bull. 16 (1973), 577 – 579. · Zbl 0289.28010
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.