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math.FA2020★ 1 cited
Mutually polar retractions on convex cones
A. B. Németh
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…
math.FA2020★ 2 cited
Subadditive retractions on cones and asymmetric vector norms
A. B. Németh, S. Z. Németh
Asymmetric vector norms are generalizations of asymmetric norms, where the subadditivity inequality is understood in ordered vector space sense. This relation imposes strong condit…