A sesquilinear form on a complex vector space 
is a function 
that is linear
in one argument and conjugate-linear in the other. With the convention that the first
argument is conjugate-linear,
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and
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Sesquilinear Form
See also
Bilinear Form, Hermitian Form, Inner Product, Reflection PositivityExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Sesquilinear Form." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SesquilinearForm.html