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Answer by Ben Grossmann for Confused about double dual spaces
Nope, you're missing a bit here. Long story short: the elements of the double dual space are functions that take a function $f$ from the dual space, and evaluate the function on a vector from $V$. That...
View ArticleAnswer by Tryss for Confused about double dual spaces
Yes, $\psi_x : E' \to \Bbb{R}$ defined by $\psi_x(f) = f(x)$ is an element of $E''$.That even give us a canonical injection from $E$ to $E''$ ( $x\mapsto \psi_x$)But note that often not all elements of...
View ArticleConfused about double dual spaces
I am a first year student, studying linear algebra. In the lecture we briefly discussed double dual spaces and I am not sure if I understood it correctly: we take a function f that is an element of the...
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