Let X be a finite-dimensional normed linear space, and {x1; x2,..., xn} any basis for X. The
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is a linear homeomorphism (remark 2.12). That is,
¢ f is linear
¢ f is one-to-one and onto
¢ f and f-1 are continuous
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F(21, 22, ..., ,) =4,x; i=1
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