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Let V be an n-dimensional real Banach space and let λ(V) denote its absolute projection constant. For any N∈N, N≥n defineλnN=sup{λ(V):dim(V)=n,V⊂l∞(N)}. The aim of this paper is to determine minimal projections with respect to l1-norm as well as with respect to l∞-norm for subspaces given by solutions of certain extremal problems. As an application we show that for any n,N∈N, N≥n there exists an...
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