Answer to Question #15695 in Functional Analysis for asadullah

Question #15695
prove that two norm linear spaces may be topological isomorphic but not necessary congruent give example.
1
Expert's answer
2012-10-05T08:02:15-0400
Is we consider square [0,1]^2 in plane R^2 and unit closed disk in R^2 as
subspaces with induced topologies, then they are homeomorphic, but obviously not
congruent.

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