2. Let [0, 1] := {ƒ : [0, 1] → R: f is a bounded function on [0, 1]}. Let ||f|| ∞ : sup f(x)| x[0,1] for fl[0, 1]. Show that ([0, 1], || ||) is a Banach space. =
2. Let [0, 1] := {ƒ : [0, 1] → R: f is a bounded function on [0, 1]}. Let ||f|| ∞ : sup f(x)| x[0,1] for fl[0, 1]. Show that ([0, 1], || ||) is a Banach space. =
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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