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ปริภูมิฮิลเบิร์ท
Sign in to saveAlso known as Hilbertian space
inner product space that is metrically complete; a Banach space whose norm induces an inner product (follows the parallelogram identity)
A Hilbert space is a mathematical space where you can measure distances and angles between points, and it's complete in the sense that every sequence of points that gets progressively closer together actually converges to a point within that space. This structure is fundamental to quantum mechanics and many areas of physics and mathematics because it provides the right framework for describing how systems evolve and how quantities can be measured.
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Wikidata facts
- Subclass of
- Banach space
- Named after
- David Hilbert
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- topic's main category
- Category:Hilbert spaces
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- quantumcomputing.stackexchange.com/tags/hilbert-space
- on focus list of Wikimedia project
- Wikipedia:Vital articles/Level/4
- Commons category
- Hilbert space
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- WikiProject Mathematics
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