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dual spaces

dual spaces is the plural of dual space.

Meaning of dual space

Noun

dual space (plural dual spaces)

  1. The vector space which comprises the set of linear functionals of a given vector space.
  2. The vector space which comprises the set of continuous linear functionals of a given topological vector space.
    • The dual space of a Banach space X is the vector space of continuous linear functions X#92;rightarrow#92;mathbb#123;R#125;, which are called functionals. Similar notation is used for duality pairing between the Banach space X and its dual space X': #92;left#92;langleu,v#92;right#92;rangle is the...2011, David E. Stewart, Dynamics with Inequalities, Society for Industrial and Applied Mathematics, page 17

Questions about dual spaces

What is dual spaces the plural of?
Dual spaces is the plural of dual space.

Words near dual spaces in the dictionary

  1. dual school
  2. dual schools
  3. dual sensory impaired
  4. dual SIM
  5. dual space
  6. dual spaces
  7. dual tone multi-frequency
  8. dual wield
  9. dual-band
  10. dual-bands
  11. dual-boot

Source and license

Adapted from Wiktionary: dual spaces (page history and authors); dual space (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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