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RESEARCH PRODUCT

The Bishop–Phelps–Bollobás theorem for L(L1(μ),L∞[0,1])

Richard M. AronYun Sung ChoiDomingo GarcíaManuel Maestre

subject

Bishop–Phelps–Bollobás theoremMeasure spaceOperatorNorm attaining

description

AbstractWe show that the Bishop–Phelps–Bollobás theorem holds for all bounded operators from L1(μ) into L∞[0,1], where μ is a σ-finite measure.

yearjournalcountryeditionlanguage
Advances in Mathematics
10.1016/j.aim.2011.05.023http://dx.doi.org/10.1016/j.aim.2011.05.023