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Math Help - Sesquilinear form

  1. #1
    Newbie
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    Nov 2009
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    5

    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

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  2. #2
    Senior Member
    Joined
    Nov 2009
    Posts
    277
    Thanks
    2

    Unsure of your notation

    This article:

    Sesquilinear form - Wikipedia, the free encyclopedia

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