with the p-norm 「さい Is a normed lineur s pace over fiéle cary R with respect to opera tróns addition and standard multiplication

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
Hw
Problém show that the space R*
with the p-norm
11, -}岩{)」f?
%3D
fiéld
is a normed lineur s pace over a
R with respect operatróns
addition and standerd multiplication
which is defined as follow S-
o(2,erンスn)+(ッツ、 )=
(x, +y,, (z+Ye-, Hn+ Jn), for all
(つe2er--/ n)(ヴーー
--.
---/
for all reR and all (,,?(2,--y
Hn) € R"
Solve the question
on the paper
Transcribed Image Text:Hw Problém show that the space R* with the p-norm 11, -}岩{)」f? %3D fiéld is a normed lineur s pace over a R with respect operatróns addition and standerd multiplication which is defined as follow S- o(2,erンスn)+(ッツ、 )= (x, +y,, (z+Ye-, Hn+ Jn), for all (つe2er--/ n)(ヴーー --. ---/ for all reR and all (,,?(2,--y Hn) € R" Solve the question on the paper
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