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Sesquilinear Form
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Geliefert zwischen Fr., 23.01.2026 und Mo., 26.01.2026
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High Quality Content by WIKIPEDIA articles! In mathematics, a sesquilinear form on a complex vector space V is a map V × V C that is linear in one argument and antilinear in the other. The name originates from the numerical prefix sesqui- meaning "one and a half". Compare with a bilinear form, which is linear in both arguments; although many authors, especially when working solely in a complex setting, refer to sesquilinear forms as bilinear forms. A motivating example is the inner product on a complex vector space, which is not bilinear, but instead sesquilinear. See geometric motivation below. Conventions differ as to which argument should be linear. We take the first to be conjugate-linear and the second to be linear. This is the convention used by essentially all physicists and originates in Dirac's bra-ket notation in quantum mechanics. The opposite convention is perhaps more common in mathematics but is not universal.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131157769
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131157769
- Format Fachbuch
- Titel Sesquilinear Form
- Herausgeber Betascript Publishing
- Anzahl Seiten 132
- Genre Mathematik
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