Mutually polar retractions on convex cones
Functional Analysis
2020-12-09 v1
Abstract
Two retractions Q and R on closed convex cones M and respectively N of a Banach space are called mutually polar if Q+R=I and QR=RQ=0. This note investigates the existence of a pair of mutually polar retractions for given cones M and N. It is shown that if dim N=1 (or dim M=1) then the retractions are subadditive with respect to the order relation their cone range endow.
Keywords
Cite
@article{arxiv.2012.04530,
title = {Mutually polar retractions on convex cones},
author = {A. B. Németh},
journal= {arXiv preprint arXiv:2012.04530},
year = {2020}
}
Comments
15 pages. arXiv admin note: text overlap with arXiv:2005.10508