Français
2. Hilbert spaces
2.1 The basics
Natural functional spaces are of infinite dimension. It is therefore essential to consider infinite-dimensional spaces when applying ideas from geometry or linear algebra to analysis. Among these, Hilbert spaces, which we will now define, occupy a central position.
Let E be a real vector space. A scalar product on E is an application
of E × E...
The Ultimate Scientific and Technical Reference
This article is included in
Mathematics
This offer includes:
Knowledge Base
Updated and enriched with articles validated by our scientific committees
Services
A set of exclusive tools to complement the resources
Practical Path
Operational and didactic, to guarantee the acquisition of transversal skills
Doc & Quiz
Interactive articles with quizzes, for constructive reading
Hilbert spaces
Non-Euclidean Banach spaces
