Consider E = C( [o,(]) as normed spaces with normS II f | = sup 1fcxl and l fll,=Sifwildx. %3D Show that i. I:(E, ll.ll4) →(E, I ), I(f)=f is not continuous ii. I: (E, ll llo)→(E, ll- IlL) is continuous, o

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Functional analysis
Consider E = CC[,(s) as normed spaces
%3D
with norms
ニ
8.
Show that
i I:(E, ll:lly) →(E, II.), Icf)=f is
not continuous
ii. I: (E, lI-b)→(E, - ) is continuous.
Transcribed Image Text:Consider E = CC[,(s) as normed spaces %3D with norms ニ 8. Show that i I:(E, ll:lly) →(E, II.), Icf)=f is not continuous ii. I: (E, lI-b)→(E, - ) is continuous.
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