Prove that the dual of l° is not isometriç to, 1', but contains a proper subspace that is isometric to l!.
Prove that the dual of l° is not isometriç to, 1', but contains a proper subspace that is isometric to l!.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 43E: Prove that in a given vector space V, the zero vector is unique.
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![(b)
Prove that the dual of l° is not isometriç to,
1', but contains a proper subspace that is
isometric to 11.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14795bcb-1de7-4fc7-be7f-d0e078d97652%2F720c1936-0b96-47a2-a04b-802cd5d2eef0%2Fmej9j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(b)
Prove that the dual of l° is not isometriç to,
1', but contains a proper subspace that is
isometric to 11.
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