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Showing 2008 · math.FAShow all
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math.FA2008
Biflatness and biprojectivity of the Fourier algebra
Volker Runde
We show that the biflatness - in the sense of A. Ya. Helemskii - of the Fourier algebra of a locally compact group forces to either have an abelian subgroup of finit…
math.FA2008
A version of Lomonosov's theorem for collections of positive operators
Alexey I. Popov, Vladimir G. Troitsky
It is known that for every Banach space X and every proper WOT-closed subalgebra A of L(X), if A contains a compact operator then it is not transitive. That is, there exist non-zer…
math.FA2008
Majorizing measures and proportional subsets of bounded orthonormal systems
Olivier Guedon, Shahar Mendelson, Alain Pajor +1
In this article we prove that for any orthonormal system $(\vphi_j)_{j=1}^n \subset L_2$ that is bounded in , and any , there exists a subset of cardinali…