Answer by Emilio Novati for countable dimensional vector space has...
As noted in my comment, here, the main concept, is that of basis of a vector space and, as a consequence, the concept of dimension.( see the link in the comment)A basis of a vector space (called a...
View Articlecountable dimensional vector space has uncountable eigenvalues?
Consider $\mathcal{R}^{\infty}$, and linear map $\mathcal{L} \in L(\mathcal{R}^{\infty})$, where $\mathcal{L}((x_1,x_2,...))=(x_2,x_3,...)$. Now, any number $\lambda \in \mathcal{R}$ is an eigenvalue...
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