Hilbert manifold
id:
hilbert-manifold-263-8581810
title:
Hilbert manifold
text:
In mathematics, a Hilbert manifold is a manifold modeled on Hilbert spaces. Thus it is a separable Hausdorff space in which each point has a neighbourhood homeomorphic to an infinite dimensional Hilbert space. The concept of a Hilbert manifold provides a possibility of extending the theory of manifolds to infinite-dimensional setting. Analogous to the finite-dimensional situation, one can define a differentiable Hilbert manifold by considering a maximal atlas in which the transition maps are dif
brand slug:
wiki
category slug:
encyclopedia
description:
Manifold modelled on Hilbert spaces
original url:
https://en.wikipedia.org/wiki/Hilbert_manifold
date created:
date modified:
2024-02-24T03:13:53Z
main entity:
{"identifier":"Q3554824","url":"https://www.wikidata.org/entity/Q3554824"}
image:
fields total:
13
integrity:
14