We characterize the norm attaining bilinear forms on L1[0,1], and show that the set of norm attaining ones is not dense in the space of continuous bilinear forms on L1[0,1].
@article{urn:eudml:doc:38452, title = {Some results on norm attaining bilinear forms on L1[0,1].}, journal = {Extracta Mathematicae}, volume = {11}, year = {1996}, pages = {381-383}, zbl = {0898.46024}, mrnumber = {MR1437462}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38452} }
Choi, Yun Sung. Some results on norm attaining bilinear forms on L1[0,1].. Extracta Mathematicae, Tome 11 (1996) pp. 381-383. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38452/