Remarks on the Preceding Paper Of
نویسندگان
چکیده
It is obvious that lp (/> 2:1) or any Hubert space satisfies (A). In §3 it is shown that Lp (p>l) does likewise. The method of proof is entirely different from that of Clarkson. In §4 it is shown that if X is any Banach space having the property that every function on a linear interval to X, which satisfies a Lipschitz condition, is differentiable almost everywhere, then also every function of bounded variation from the linear interval to X is differentiable almost everywhere and its derivative is summable. 2. Proof of the theorem. It should first be noted that it is no loss of generality to assume besides (A) the property
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