In algebra linear, un forma sesquilinear[1] es un function
que adjunge duo vectores del spatios vectorial complexe
e
a un valor scalar del corpore
(sovente
) tal que pro
,
, e
es ver
![{\displaystyle \langle v_{1}+v_{2},w\rangle =\langle v_{1},w\rangle +\langle v_{2},w\rangle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/e090f868ce4aac65a6f652c0fcdcec5556bab1a4)
(Semilinearitate in le prime argumento)
![{\displaystyle \langle v,w_{1}+w_{2}\rangle =\langle v,w_{1}\rangle +\langle v,w_{2}\rangle }](https://wikimedia.org/api/rest_v1/media/math/render/svg/9f87784eb638563027777b650f187ed4b2831c49)
(Linearitate in le secunde argumento).
In le corpore
del numeros real, le forma sesquilinear concorda con le forma bilinear.
- ↑
Derivation (in ordine alphabetic):
(ca) ||
(de) Sesquilinearform ||
(en) Sesquilinear form ||
(es) Forma sesquilineal ||
(fr) Forme sesquilinéaire ||
(it) Forma sesquilineare ||
(pt) Forma sesquilinear ||
(ro)
|| (ru) Полуторалинейная форма