2020•viXraRequires access
Isomorphisms Between Dual Spaces of a Vector Space
Eduardo Magalhães, Eduardo Magalh es
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Abstract
In this small paper, it's deduced that for every finite-dimensional vector space V, the i-th and the j-th dual spaces of V are isomorphic. Tho other minor lemmas are also proven: 1) Every vector space V with dimension n over a field K is isomorphic to K^n, and 2) The i-th dual space of a finite-dimensional vector space V is isomorphic to the i+1-th dual space of V.