Distances to spaces of affine Baire-one functions
Jiří Spurný
Studia Mathematica, Tome 196 (2010), p. 23-41 / Harvested from The Polish Digital Mathematics Library
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Let E be a Banach space and let ℬ₁(BE*) and ₁(BE*) denote the space of all Baire-one and affine Baire-one functions on the dual unit ball BE*, respectively. We show that there exists a separable L₁-predual E such that there is no quantitative relation between dist(f,ℬ₁(BE*)) and dist(f,₁(BE*)), where f is an affine function on BE*. If the Banach space E satisfies some additional assumption, we prove the existence of some such dependence.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:285666 
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     year = {2010},
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Jiří Spurný. Distances to spaces of affine Baire-one functions. Studia Mathematica, Tome 196 (2010) pp. 23-41. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm199-1-3/