Problems on Measure Algebras
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 291-297
Voir la notice de l'article provenant de la source Cambridge University Press
Suppose that G is a locally compact abelian group, u an element of infinite order, and w a complex number of modulus 1. It is a familiar fact that there is a complex homomorphism Ψ of the measure algebra M of G, which maps εu (the unit mass concentrated at u) to w. Beyond this, one may specify an element μ of M, and require a homomorphism Ψ which does not annihilate μ. The resolution of this problem leads to an abstract lemma on measurable transformations, derived in some generality in the first section.
Kaufman, Robert. Problems on Measure Algebras. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 291-297. doi: 10.4153/CJM-1968-028-x
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author = {Kaufman, Robert},
title = {Problems on {Measure} {Algebras}},
journal = {Canadian journal of mathematics},
pages = {291--297},
year = {1968},
volume = {20},
number = {1},
doi = {10.4153/CJM-1968-028-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1968-028-x/}
}
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