Accept that (C'[0, 1], || - ||1) is a Banach space, where c'(0, 1] := {x € C[0, 1] : a'(t) E C[0, 1]} and ||||1 = sup a(t)|+ sup a'(t)|. te[0,1] te[0,1] Prove that : c'[0, 1] → C[0, 1] is a bounded linear operator with |||| = 1.
Accept that (C'[0, 1], || - ||1) is a Banach space, where c'(0, 1] := {x € C[0, 1] : a'(t) E C[0, 1]} and ||||1 = sup a(t)|+ sup a'(t)|. te[0,1] te[0,1] Prove that : c'[0, 1] → C[0, 1] is a bounded linear operator with |||| = 1.
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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