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arXiv · 2012.04530

Mutually polar retractions on convex cones

A. B. Németh
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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.

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A. B. Németh. 2020-12-08. Mutually polar retractions on convex cones. https://arxiv.org/abs/2012.04530

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