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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
5
votes
Accepted
Control on dimension of image
Just to give an example on how weird this can become: take $E = \mathbb{R}$ and $F = \ell^2$ with standard Hilbert basis $e_0 e_1, e_2, \ldots$. Then take a smooth bump function $\chi \in C^\infty(\ma …
3
votes
Accepted
Analogue Bialgeras vs Lie bialgebras
There is of course a much more profound "analogy" between bialgebras and Lie bialgebras: the quantization and dequantization functors of Etingof and Kazhdan. From this point of view, Lie bialgebras ap …