Hilbert space
inner product space that is metrically complete; a Banach space whose norm induces an inner product (follows the parallelogram identity)
Press Enter · cited answer in seconds
0 sources
Summary
Hilbert space is a mathematical concept[1]. It ranks in the top 0.79% of mathematical concept entities by monthly Wikipedia readership (10,714 views/month, #8 of 1,007).[2]
Key Facts
- Named after: David Hilbert[3]
- Subclass of: uniformly convex space[4], inner product space[5], Hilbert manifold[6], Banach space[7]
- Commons category: Hilbert space[8]
- Topic's main category: Category:Hilbert spaces[9]
- Described by source: Armenian Soviet Encyclopedia, vol. 6[10]
- Topic has template: Template:Hilbert space[11]
- Stack Exchange tag: https://mathoverflow.net/tags/hilbert-spaces[12], https://math.stackexchange.com/tags/hilbert-spaces[13], https://physics.stackexchange.com/tags/hilbert-space[14], https://quantumcomputing.stackexchange.com/tags/hilbert-space[15]
- On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[16]
- Maintained by WikiProject: WikiProject Mathematics[17]
Body
Influence
Things named for Hilbert space include Hilbert manifold[18].
Why It Matters
Hilbert space has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[19] It is known by 59 alternative names across languages and contexts.[20]
Entities named for it include Hilbert manifold[18].