11. Let T E C(Rn; Rm) and set M:= sup IIT(x)ll. IIzll=l (a) Prove that M :::;...

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11. Let T E C(Rn; Rm) and set M:= sup IIT(x)ll.

IIzll=l

(a) Prove that M :::; IITII.

(b) Using the linear property of T, prove that if x =I- 0, then

(c) Prove that M = IITII.

(d) Prove that M> IIT(x)11

- Ilxll .

liT II = sup IIT(x) II.

z#l Ilxl

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An Introduction To Analysis

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3rd Edition

Authors: William R. Wade

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11. Let T E C(Rn; Rm) and set M:= sup IIT(x)ll. IIzll=l (a) Prove that M :::;...

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An Introduction To Analysis

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