Example (3.8):Let X =C[0,1] and let W = [fo, f1,..] such that fi(x) = x",we observe that W is an infinite subspace but it is not closed.%3D

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Answered: Example (3.8): Let X = C[0,1] and let W…

Example (3.8): Let X = C[0,1] and let W = [fo, fu .] such that fi(x)=x', we observe that W is an infinite subspace but it is not closed.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.3: Subspaces Of Vector Spaces

Problem 56E: Give an example showing that the union of two subspaces of a vector space V is not necessarily a...

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Example (3.8):
Let X =
C[0,1] and let W = [fo, f1,..] such that fi(x) = x",
we observe that W is an infinite subspace but it is not closed.
%3D

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