Polar subspaces and automatic maximality
Functional Analysis
2013-06-26 v3
Abstract
This paper is about certain linear subspaces of Banach SN spaces (that is to say Banach spaces which have a symmetric nonexpansive linear map into their dual spaces). We apply our results to monotone linear subspaces of the product of a Banach space and its dual. In this paper, we establish several new results and also give improved proofs of some known ones in both the general and the special contexts.
Cite
@article{arxiv.1212.2522,
title = {Polar subspaces and automatic maximality},
author = {Stephen Simons},
journal= {arXiv preprint arXiv:1212.2522},
year = {2013}
}
Comments
11 pages. arXiv admin note: substantial text overlap with arXiv:1112.0280 (which is reference [14] in this paper) This version contains a few minor clarification over the previous version