Exercise (4) 1. Show that: Suppose x is a linear space that is complete with respect to norms |.|. and , if there exists positive real numbers c such that x ≤ch, for all x € X, then||||| are equivalent and 2. Show that If (x) and (y) are bounded sequences in a normed space X and AER. Then ) and (x, y, are bounded sequences in X. در العراق

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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ات جرا عراق
Exercise (4)
ests polinear space that is complete with respect to norms -
positive real numbers c such that scx for all xe X, then || ||
1. Show that: Suppose
if there
and
and
are
2. Show that If (x) and (y) are bounded sequences in a normed space X and AER.
Then x) and (x, ty are bounded sequences in X.
Transcribed Image Text:ات جرا عراق Exercise (4) ests polinear space that is complete with respect to norms - positive real numbers c such that scx for all xe X, then || || 1. Show that: Suppose if there and and are 2. Show that If (x) and (y) are bounded sequences in a normed space X and AER. Then x) and (x, ty are bounded sequences in X.
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