Summary: Advances in Mathematics 228 (2011) 617­628
www.elsevier.com/locate/aim
The Bishop­Phelps­Bollobás theorem for
L(L1(),L[0,1])
Richard M. Aron a,1
, Yun Sung Choi b,2
, Domingo García c,,1
,
Manuel Maestre c,3
a Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA
b Department of Mathematics, POSTECH, Pohang (790-784), Republic of Korea
c Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50,
46100 Burjasot (Valencia), Spain
Received 13 November 2010; accepted 22 May 2011
Available online 1 June 2011
Communicated by N.G. Makarov
Abstract
We show that the Bishop­Phelps­Bollobás theorem holds for all bounded operators from L1() into
L[0,1], where is a -finite measure.
© 2011 Elsevier Inc. All rights reserved.

Source: Aron, Richard M. - Department of Mathematics, Kent State University

Collections: Mathematics