(g) Consider E=C([0, 1]) induced with the uniform norm and consider the linear form: ER defined by 1-f1(1)dt, ƒ€ E. (1) = f* f(t)dt = i. Show that is continuous and calculate ||||. ii. Show that if (f)|=1 with ||f|| = 1, then f(t) What do you conclude? = { 0
(g) Consider E=C([0, 1]) induced with the uniform norm and consider the linear form: ER defined by 1-f1(1)dt, ƒ€ E. (1) = f* f(t)dt = i. Show that is continuous and calculate ||||. ii. Show that if (f)|=1 with ||f|| = 1, then f(t) What do you conclude? = { 0
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 24EQ
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