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Hilbert space

Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun functional analysis A generalized Euclidean space in which mathematical functions take the place of points; crucial to the understanding of quantum mechanics and other applications.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

  • noun a metric space that is linear and complete and (usually) infinite-dimensional

Etymologies

from Wiktionary, Creative Commons Attribution/Share-Alike License

Named after David Hilbert (1862–1943), German mathematician.

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hypernyms (1)

Words that are more generic or abstract

  1. metric space

relateds (9)

relateds

  1. Banach space
  2. Fréchet space
  3. inner product space
  4. linear algebra
  5. metric space
  6. normed space
  7. pre-Hilbert space
  8. topological vector space
  9. vector space

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