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Re: Bijection of vector spaces


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  • From: Laurent Théry <>
  • Cc: "" <>
  • Subject: Re: Bijection of vector spaces
  • Date: Thu, 03 May 2012 16:53:46 +0200

On 05/03/2012 04:32 PM, Georges Gonthier wrote:
That may be true, but as the library stands it'll be very difficult to
exploit that fact. For example, f^-1 will not cancel f.
Cyril's suggestion produces an automorphism of the whole type, that maps V1
onto V2 if they have the same dimension.
mxalgebra also supplies a somewhat complementary construction, which allows
to extend a given locally injective function to
a global automorphism.

Yep if you need explicitly the automorphism while staying at the level of vector, you need to consider
the bases of the full space ((vbasis U) ++ (vbasis U^C)) and ((vbasis V) ++ (vbasis V^C)).

--
Laurent




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