4. Let & C[0, 1] R be given by 6(f) = f(0). Prove that d is linear. Show that dis continuous when C[0, 1] is equipped with |||| and compute ||8|op. Prove or disprove that & is continuous when C[0, 1] is equipped with || ||.
4. Let & C[0, 1] R be given by 6(f) = f(0). Prove that d is linear. Show that dis continuous when C[0, 1] is equipped with |||| and compute ||8|op. Prove or disprove that & is continuous when C[0, 1] is equipped with || ||.
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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![4. Let & C[0, 1] → R be given by 5(f) = f(0). Prove that is linear. Show that is
continuous when C[0, 1] is equipped with || || and compute ||8|op. Prove or disprove that
8 is continuous when C[0, 1] is equipped with 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3bec36e-f305-47d5-b1e5-c8c0e472f1a3%2Fe57c1dc6-bcb7-4ffe-9334-985d100ed969%2F3ea0ua_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Let & C[0, 1] → R be given by 5(f) = f(0). Prove that is linear. Show that is
continuous when C[0, 1] is equipped with || || and compute ||8|op. Prove or disprove that
8 is continuous when C[0, 1] is equipped with 1.
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