Talk:Semilinear map

note
$$\lambda^\theta$$ under the use in this article was denoted $$\lambda$$$\theta$ — Preceding unsigned comment added by 79.115.169.113 (talk • contribs) 2014-07-16 05:20:03 (UTC)

Connection with sesquilinear form
A semilinear transformation for the special case of a vector space to its dual $T : V → V^{∗} : v ↦ T(v)$ induces a sesquilinear form $S : V × V → K : (v, w) ↦ T(v)(w)$. Conversely, every sesquilinear form naturally induces two semilinear maps, just as a bilinear form naturally induces two linear maps. If this can be sourced, it would seem natural to include it in the article. —Quondum 01:47, 30 July 2016 (UTC)