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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.

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