Con sider IR asa vectorlet1.space.P: IRIRbea map satufying pers)= ini pis) forullpcrs)= 1ri pis) for all6SEIR. Show that:if ond onlyisa normit pL)>0.

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Answered: Consider IR as rector space. let P: IR…

Consider IR as rector space. let P: IR IR a be a map satufging pers)= iri pis) for ll ttying pcrs)=ini pis) for all GSEIR Show that: p is a norm it and only if ond only if

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Con sider IR as
a vector
let
1.
space.
P: IRIR
be
a map satufying pers)= ini pis) forull
pcrs)= 1ri pis) for all
6SEIR. Show that:
if ond only
is
a norm
it pL)>0.

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