Andrew Stacey


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Andrew Stacey
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By: Andrew Stacey
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Andrew Stacey


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Wed, 2nd Jan 2008 (Teaching :: TMA4230v2008)

Summary

This course studies the central ideas of functional analysis, focussing primarily on normed vector spaces.

Highlights include:

  • The Hahn-Banach theorem (in various guises)
  • The open mapping and closed graph theorems
  • The Banach-Steinhaus theorem
  • Dual spaces
  • Weak convergence
  • Banach-Alaoglus theorem
  • Spectral theory for self-adjoint operators

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Last modified on:
Wed, 2nd Jan 2008