论文标题
凸锥上的相互极地缩回
Mutually polar retractions on convex cones
论文作者
论文摘要
如果q+r = i = i和qr = rq = 0，则在闭合凸锥M上的两个回缩Q和R分别称为互相极性。本说明研究了给定锥体M和N的一对相互缩回的存在。
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.
