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In this note we prove optimal inequalities for bounded functions in terms of their deviation from their mean. These results extend and generalize some known inequalities due to Thong (2011) and Perfet...
Factorization of the Shoenfield-like bounded functional interpretation
Factorization Shoenfield-like bounded functional interpretation
2010/12/3
We adapt Streicher and Kohlenbach’s proof of the factorization S = KD of the Shoenfield translation S in terms of Krivine’s negative translation K and the G¨odel functional interpretation D, obtaining...
WEAK\star- INVARIANTLY COMPLEMENTED SUBSPACES OF L\infty(1/w) AND IDEALS OF L1(w) WITH A BOUNDED APPROXIMATE IDENTITY
INVARIANTLY COMPLEMENTED SUBSPACES IDEALS OF L1(w) L\infty(1/w)
2010/3/17
For a locally compact group G let L1(w) be the weighted group algebra and let X be a weak \star-closed translation invariant subspace of L\infty (1/w). In this paper for a certain class of functions w...