6533b832fe1ef96bd129a262

RESEARCH PRODUCT

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

Richard M. AronDomingo GarcíaYun Sung ChoiManuel Maestre

subject

Discrete mathematicsGeneral MathematicsBounded functionMathematical analysisMeasure (mathematics)Mathematics

description

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

https://doi.org/10.1016/j.aim.2011.05.023