Geodesic
Projections in Spaces of Bimeasures
Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 19-25

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Let X and Y be metrizable compact spaces and μ and v be nonzero continuous measures on X and Y, respectively. Then there is no bounded operator from the space of bimeasures BM(X, Y) onto the closed subspace of BM(X, Y) generated by L1 (μ X v); in particular, if X and Fare nondiscrete locally compact groups, then there is no bounded projection from BM(X, Y) onto the closed subspace of BM(X, Y) generated by L1 (X X Y).
DOI : 10.4153/CMB-1988-003-9
Mots-clés : 43A25, 46J10 
Graham, Colin C.; Schreiber, Bertram M. Projections in Spaces of Bimeasures. Canadian mathematical bulletin, Tome 31 (1988) no. 1, pp. 19-25. doi: 10.4153/CMB-1988-003-9
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     title = {Projections in {Spaces} of {Bimeasures}},
     journal = {Canadian mathematical bulletin},
     pages = {19--25},
     year = {1988},
     volume = {31},
     number = {1},
     doi = {10.4153/CMB-1988-003-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-003-9/}
}
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