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ปริภูมิฮิลเบิร์ท

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ปริภูมิฮิลเบิร์ท

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Also known as Hilbertian space

inner product space that is metrically complete; a Banach space whose norm induces an inner product (follows the parallelogram identity)

AI overview

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.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Subclass of
Banach space
Named after
David Hilbert
Show 5 more facts
topic's main category
Category:Hilbert spaces
on focus list of Wikimedia project
Wikipedia:Vital articles/Level/4
Commons category
Hilbert space
maintained by WikiProject
WikiProject Mathematics
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