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arXiv:1409.3058 [math.FA]AbstractReferencesReviewsResources

A way from the isoperimetric inequality in the plane to a Hilbert space

Edward Tutaj

Published 2014-09-10Version 1

We will formulate and prove a generalization of the isoperimetric inequality in the plane. Using this inequality we will construct an unitary space - and in consequence - an isomorphic copy of a separable infinite dimensional Hilbert space, which will appear also an RHKS.

Categories: math.FA
Subjects: 46E22, 52B60
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