Isometric Differentiable Functions on Real Normed Space1
نویسندگان
چکیده
From now on S, T ,W , Y denote real normed spaces, f , f1, f2 denote partial functions from S to T , Z denotes a subset of S, and i, n denote natural numbers. Now we state the propositions: (1) Let us consider a set X and functions I, f . Then (f X) · I = (f · I) I−1(X). (2) Let us consider real normed spaces S, T , a linear operator L from S into T , and points x, y of S. Then L(x)− L(y) = L(x− y). This work was supported by JSPS KAKENHI 23500029 and 22300285.
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تاریخ انتشار 2014