dual space
dual space noun: the vector space which comprises the set of linear functionals of a given vector space.
Noun
dual space (plural dual spaces)
- The vector space which comprises the set of linear functionals of a given vector space.
- 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
dual space meaning in Tamil
dual space in Tamil
- இருமவெளி, துணைவெளி
Synonyms of dual space
- algebraic dual space
- dual vector space
- continuous dual space
- continuous dual
Forms of dual space
| plural | dual spaces |
|---|
Questions about dual space
- What does dual space mean?
- Dual space means the vector space which comprises the set of linear functionals of a given vector space.
- What is dual space in Tamil?
- Dual space in Tamil is இருமவெளி, துணைவெளி. See Dual space meaning in Tamil.
- What part of speech is dual space?
- Dual space is a noun.
- What is the plural of dual space?
- The plural of dual space is dual spaces.
Words near dual space in the dictionary
Source and license
Adapted from Wiktionary: dual space (page history and authors); dual space (Tamil Wiktionary) (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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Cite this entry: “dual space.” Word.ws, https://word.ws/dual_space. Based on Wiktionary, CC BY-SA 4.0.