Thread: Sesquilinear form

Hey,

Let

V = C^2 be standard complex vector space of dimension 2. Is the

map b: V x V ->C given by b((z1,z2),(w1,w2)) = z1w2+ z2w1 sequilinear?

I have tried to work out b((z1,z2),a(w1,w2)+b(v1,v2)) with a,b belonging to C, but cannot find the right argument to show it.

thnx

This article:

Sesquilinear form - Wikipedia, the free encyclopedia

may help you. If not, can you please clarify what you're signifying by z1, z2?