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I'm taking a course of linear algebra and as one of the themes this:

  • Hilbert spaces: Hilbert bases, Fourier expansions, dimension of Hilbert, Riesz theorem.

I have some text on Hilbert spaces but are more concerned with the analysis of linear algebra. Any suggestions for reading?

Thank you very much.

Hiperion
  • 1,763

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Try picking up a book on functional analysis or fourier theory. If you like Riesz, you might like this for functional analysis. (Cheap too!)