Representations of bimeasures
Studia Mathematica, Tome 104 (1993) no. 3, pp. 269-278
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_sm_104_3_269_278,
author = {Kari Ylinen},
title = {Representations of bimeasures},
journal = {Studia Mathematica},
pages = {269--278},
publisher = {mathdoc},
volume = {104},
number = {3},
year = {1993},
doi = {10.4064/sm-104-3-269-278},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-104-3-269-278/}
}
Kari Ylinen. Representations of bimeasures. Studia Mathematica, Tome 104 (1993) no. 3, pp. 269-278. doi: 10.4064/sm-104-3-269-278
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