Significance of the Mazur-Ulam Theorem

Asked Dec 22 '15 at 06:02

Active Dec 22 '15 at 06:34

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The Mazur-Ulam theoem states that any surjective isometry between any two real normed spaces is necessarily affine.

What is the significance of the theorem? It is said that the birth of the Banach space theory is due to this theorem[1], but I don't see why.

edited Dec 22 '15 at 06:34

asked Dec 22 '15 at 06:02

Idonknow

3

In what possible way is this recreational mathematics? – Mariano Suárez-Álvarez Dec 22 '15 at 06:09
1

So you know what Banach space theory deals with? – Mariano Suárez-Álvarez Dec 22 '15 at 06:10

0 Answers0