2. Let X be a normed space and UC X a closed subspace. The subspaceU = {X E X' | Vu EU: X(u) = 0}is called the annihilator of U. Prove that (a) (X/U) U and (b) U' X'/U+.

Answered: 2. Let X be a normed space and UC X a…

Elementary Linear Algebra (MindTap Course List)

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ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...

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2. Let X be a normed space and UC X a closed subspace. The subspace U = {X E X' | Vu EU: X(u)=0} is called the annihilator of U. Prove that (a) (X/U) U and (b) U' X'/UL.