Minimal Projection onto Certain Subspace of

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION（2018）

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Abstract

Let X, Y, Z be Banach spaces. We show a formula for a minimal projection from S = L-p(X x Y x Z) onto T = L-p(X x Y)+ L-p (X x Z) + L-p(Y x Z). It is a generalization of a result of Cheney and Light who showed a formula for a minimal projection from S = L-p (X x Y) onto T = L-p(X) + L-p(Y).

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Key words

Groups of isometries,minimal projection,Rudin's Theorem

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