Pyove that. the tviangle auiom for a from the defination eqquivalent with Convexity of the Unit ball. Move no1m is the closed Precisely. i X is a Space function p: X → [0, 0) with the properties: Px)=0 <=> lineav on which is given %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Book:Functional Analysis-I

3. Prove that.
the triangle axiom
from the defination fov a
is
equivalent with
the
Convexity of the
Unit ball. Move
closed
Precisely, it X is
lineav
on which is given
Space
function p: X → [0; o0)
with the properties:
Px)=0 <=> x=0
%3D
Transcribed Image Text:3. Prove that. the triangle axiom from the defination fov a is equivalent with the Convexity of the Unit ball. Move closed Precisely, it X is lineav on which is given Space function p: X → [0; o0) with the properties: Px)=0 <=> x=0 %3D
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