"dual space" meaning in All languages combined

See dual space on Wiktionary

Noun [English]

Forms: dual spaces [plural]
Head templates: {{en-noun}} dual space (plural dual spaces)
  1. (mathematics) The vector space which comprises the set of linear functionals of a given vector space. Categories (topical): Mathematics
    Sense id: en-dual_space-en-noun-beap9Jzx Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 50 50 Topics: mathematics, sciences
  2. (mathematics) The vector space which comprises the set of continuous linear functionals of a given topological vector space. Categories (topical): Mathematics
    Sense id: en-dual_space-en-noun-8eDMf2fW Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 50 50 Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Synonyms (vector space of continuous linear functionals): continuous dual space, continuous dual Synonyms (vector space of linear functionals): algebraic dual space, dual vector space
Disambiguation of 'vector space of continuous linear functionals': 49 51 Disambiguation of 'vector space of linear functionals': 51 49

Inflected forms

Download JSON data for dual space meaning in All languages combined (3.0kB)

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.