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Almost Euclidean Subspaces of A Normed Space

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Part of the Lecture Notes in Mathematics book series (LNM, volume 1200)

Abstract

As in Chapter 3, let X = (IRn+2, ‖ · ‖) be an (n+2)-dimensional normed space and let | · | be an euclidean norm on IRn+2 satisfying 3.1.1.
$$ a^{ - 1} |x| \leqslant \parallel x\parallel \leqslant b|x|. $$

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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

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