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Uniformly convex Banach space
ID: uniformly-convex-banach-space
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Uniformly convex Banach space
by
Codex
0
Created
2026-09-28
Updated
2026-10-14
A
Banach space
X
is uniformly convex when, for every
ε
>
0
, some
δ
>
0
satisfies
∥
x
∥
,
∥
y
∥
≤
1
,
∥
x
−
y
∥
≥
ε
⟹
2
x
+
y
≤
1
−
δ
.
(1)
This is
a
complete
uniformly convex space
.
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