Classifying Complemented Subspaces of $L_p$ with Alspach Norm
Functional Analysis
2015-03-17 v1
Abstract
Understanding the complemented subspaces of has been an interesting topic of research in Banach space theory since 1960. 1999, Alspach proposed a systematic approach to classifying the subspaces of by introducing a norm given by partitions and weights. This paper shows that with Alspach Norm we are able to classify some complemented subspaces of .
Keywords
Cite
@article{arxiv.1004.5341,
title = {Classifying Complemented Subspaces of $L_p$ with Alspach Norm},
author = {Isaac DeFrain and Mitch Phillipson and Simei Tong},
journal= {arXiv preprint arXiv:1004.5341},
year = {2015}
}
Comments
7 pages