A way from the isoperimetric inequality in the plane to a Hilbert space
Functional Analysis
2014-09-11 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1409.3058,
title = {A way from the isoperimetric inequality in the plane to a Hilbert space},
author = {Edward Tutaj},
journal= {arXiv preprint arXiv:1409.3058},
year = {2014}
}