3. Show that every y E lị defines a continuous linear functional on l through the inner product, ø(x) = y · x = D£1 Y;Xi- vi=1
3. Show that every y E lị defines a continuous linear functional on l through the inner product, ø(x) = y · x = D£1 Y;Xi- vi=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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![3. Show that every y e l1 defines a continuous linear functional on lo.
through the inner product, ø(x) = y - x = E£1 YiX;.
vi=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4864dd4f-49a7-485b-a036-b8d2e5fee1a2%2F39d518b1-d0de-4b8b-a65b-8ee60b065f75%2Fv95dup7_processed.png&w=3840&q=75)
Transcribed Image Text:3. Show that every y e l1 defines a continuous linear functional on lo.
through the inner product, ø(x) = y - x = E£1 YiX;.
vi=1
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