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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Orthogonal complement
Replies: 15   Last Post: Mar 5, 2013 6:48 PM

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Shmuel (Seymour J.) Metz

Posts: 3,271
Registered: 12/4/04
Re: Orthogonal complement
Posted: Mar 5, 2013 11:12 AM
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In <kh2sfr$680$1@news.cc.tut.fi>, on 03/04/2013
at 09:27 PM, Kaba <kaba@nowhere.com> said:

>In particular the sentence "Since LB is a linear map between
>vector spaces of the same dimension, injectivity, surjectivity,
>and isomorphy are equivalent properties." sounds incorrect to me.

The implication is correct.

Try Halmos's Finite Dimensional Vector Spaces; I found it to be a very
easy read.

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Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>

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