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Bases in Banach Spaces

January 6th, 2008 by Walt

For a succinct introduction to bases in Banach spaces, Christopher Heil has provided A Basis Theory Primer. (The first 20 pages are a quick review of Banach space theory. The rest is devoted to bases in Banach spaces.)

This entry was posted on Sunday, January 6th, 2008 at 11:09 pm and is filed under Mathematics. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

2 Responses to “Bases in Banach Spaces”

  1. Jacob Freeze Says:
    January 8th, 2008 at 11:11 pm

    Here we are in the Year of Our Lord 2008, and when a math blog gives an elementary reference about bases, what should show up except a pdf document! Holy puking paralysis, Batman! Why not a parchment scroll ? Why not some scribbling in the sand?

    Enough about exposition! Let’s get back to grinding those diagrams!

  2. Doormat Says:
    January 9th, 2008 at 9:01 am

    Somewhat a shame it doesn’t mention the work of Gowers and Maurey at all. Given this it’s the most exciting thing to happen in basis theory in a while, and the statements are rather natural, and easy to understand (the proofs are, well, enough to contribute to winning a Fields Medal).

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