4. Proveaxiom vomforthat the triangle.the definationis eqguivalentConverity ofHor anoimnith thethe closedUnit ball.precisely, if X isSpacefunctionMorelinearon whichisgiven awith theproper Dies,P(Ax)= P(x) xEX, Y dEIKthenand only if bx= jx€Xlp(z) < 4]isnorm if%3DisConvex.

Answered: Image /qna-images/answer/a905c20a-182b-4036-ae2e-4d68bb6c3bbb.jpg

that the triangle Prove axiom vom for a with the the closed the defination is eqquivalent norm Convewity of unit b'all. More precisely, if X is on which function linear Space is given with the properDies, P(Ax)= P(x) xEX,dEK then and only if Bz = 9x€Xlp(z)s 4] norm if is Convex.

that the triangle Prove axiom vom for a with the the closed the defination is eqquivalent norm Convewity of unit b'all. More precisely, if X is on which function linear Space is given with the properDies, P(Ax)= P(x) xEX,dEK then and only if Bz = 9x€Xlp(z)s 4] norm if is Convex.

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

100%

4. Prove
axiom vom
for
that the triangle.
the defination
is eqguivalent
Converity of
Hor a
noim
nith the
the closed
Unit ball.
precisely, if X is
Space
function
More
linear
on which
is
given a
with the
proper Dies,
P(Ax)= P(x) xEX, Y dEIK
then
and only if bx= jx€Xlp(z) < 4]
is
norm if
%3D
is
Convex.

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