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 $T : V \to V * : v \mapsto T (v)$ induces a sesquilinear form $S : V \times V \to K : (v, w) \mapsto T (v)(w)$ . 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)[reply]