List questions from dual-maps | MathQa

Write $T'(\phi_1)$ and $T'(\phi_2)$. as a linear combination of $\omega_1,\omega_2,\omega_3$

Published on 12 Jan 2025 - 20:57

Prove that $\exists f\in V^*$ and $w\in W$ s.t. $A(v)=f(v)w\;\forall v\in V$

Published on 12 Jan 2025 - 20:54

Is it true that $\dim({\rm im}(f))=\dim({\rm im}(f^{*}))$?

Published on 12 Jan 2025 - 20:34

Proving $\operatorname{coker}(f^) \cong (\ker f)^$ for a linear map $f$

Published on 12 Jan 2025 - 20:49

What is the dual of the space $V=\{f: K\to \mathbb R^n, f(x)=Ax+b\}$ with $K\subset\mathbb R^n$ compact?

Published on 12 Jan 2025 - 21:02

Assume that $ \pi $ is a projection operator in $ E $. Prove that $ \pi^{} $ is a projection operator in $ E^{} $.

Published on 12 Jan 2025 - 21:01

Is the equivalent function between isomorphic domains called a dual?

Published on 12 Jan 2025 - 20:54

Prove that $\Omega(x^{^1}, \ldots, x^{^n}; x_1, \ldots, x_n) = \phi (x^{^1}, \ldots, x^{^n}) \Delta(x_1, \ldots, x_n)$

Published on 12 Jan 2025 - 20:59

How to prove that every dual linear operator of an operator on $L_2(\mathbb{R})$ shares its eigenvalues with its dual operator

Published on 12 Jan 2025 - 22:57

If two elements are different there is a functional under where the image is different

Published on 12 Jan 2025 - 21:00