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Isometries and Linearity

Published in Springer

Let f be a transformation on the Euclidean space such that f(0) = 0, and f preserves distances. Then f is linear, and this makes it easier to analyze f. The Mazur—Ulam theorem generalizes this to maps between real normed linear spaces. We discuss this theorem and its proofs.

About the journal
JournalData powered by TypesetResonance
PublisherData powered by TypesetSpringer
Open AccessNo