K(X,Y) as subspace complemented of L(X,Y)
Functional Analysis
2016-03-24 v3
Abstract
Let X,Y be two Banach spaces ; in the first part of this work, we show that K(X,Y) contains a complemented copy of c0 if Y contains a copy of c0 and each bounded sequence in Y has a subsequece which is w* convergente. Afterward we obtain some results of M.Feder and G.Emmanuele: Finally in this part we study the relation between the existence of projection from L(X,Y) on K(X,Y) and the existence of pro- jection from K(X,Y ) on K(X,Y) if Y has the approximation property. In the second part we study the Radon-Nikodym property in L(X,Y):
Keywords
Cite
@article{arxiv.1411.2217,
title = {K(X,Y) as subspace complemented of L(X,Y)},
author = {Mohammad Daher},
journal= {arXiv preprint arXiv:1411.2217},
year = {2016}
}
Comments
21 pages, in French