The dual of a non-reflexive L-embedded Banach space contains $\ell^\infty$ isometrically.
Functional Analysis
2010-04-02 v1
Abstract
See title. (A Banach space is said to be L-embedded if it is complemented in its bidual such that the norm between the two complementary subspaces is additive.)
Cite
@article{arxiv.1004.0203,
title = {The dual of a non-reflexive L-embedded Banach space contains $\ell^\infty$ isometrically.},
author = {Hermann Pfitzner},
journal= {arXiv preprint arXiv:1004.0203},
year = {2010}
}
Comments
accepted by Bull. Pol. Acad. Sci.