Answered: Lemma 2.56 Let (X,T) be a topological… | bartleby

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 24CM

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Lemma 2.56 Let (X,T) be a topological space, (M, d) be a complete metric space and
BC(X, M) := {f E C(X, M); f[X] is bounded }
doo(f, 9) := sup d(f(x), g(x))
xƐX
(f, g € BC(X, M)).
Then (BC(X, M), d) is a complete metric space.

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