Norm Characterization of Real D > Spaces
نویسندگان
چکیده
1. Representation lemma. The representation lemma stated below is based on techniques developed by Cunningham [2], for the case p — 1. Since the cases for p = 1 and p = 2 are known, we assume throughout the following that 1 <p<2. A projection, £, on X is an L projection iff H*ll» W » +1|(/ -E)4 for all *EX. P(X) denotes the class of all L projections on X. P(X) is clearly nonempty because {0, I} QP(X) ; and if (1) holds in X then P(X) is a complete Boolean algebra of norm 1 projections under the usual order. An element uÇzX is said to be an L unit iff
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