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A Course on Topological Vector Spaces

Bag om A Course on Topological Vector Spaces

Initial topology, topological vector spaces, weak topology.- Convexity, separation theorems, locally convex spaces.- Polars, bipolar theorem, polar topologies.- The theorems of Tikhonov and Alaoglu-Bourbaki.- The theorem of Mackey-Arens.- Topologies on E'''', quasi-barrelled and barrelled spaces.- Reflexivity.- Completeness.- Locally convex final topology, topology of D(\Omega).- Precompact -- compact - complete.- The theorems of Banach--Dieudonne and Krein-Smulian.- The theorems of Eberlein--Grothendieck and Eberlein-Smulian.- The theorem of Krein.- Weakly compact sets in L_1(\mu).- \cB_0''''=\cB.- The theorem of Krein-Milman.- A The theorem of Hahn-Banach.- B Baire''s theorem and the uniform boundedness theorem.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9783030329440
  • Indbinding:
  • Paperback
  • Sideantal:
  • 155
  • Udgivet:
  • 7. marts 2020
  • Udgave:
  • 12020
  • Størrelse:
  • 155x235x0 mm.
  • Vægt:
  • 454 g.
  • BLACK NOVEMBER
Leveringstid: 8-11 hverdage
Forventet levering: 21. november 2024

Beskrivelse af A Course on Topological Vector Spaces

Initial topology, topological vector spaces, weak topology.- Convexity, separation theorems, locally convex spaces.- Polars, bipolar theorem, polar topologies.- The theorems of Tikhonov and Alaoglu-Bourbaki.- The theorem of Mackey-Arens.- Topologies on E'''', quasi-barrelled and barrelled spaces.- Reflexivity.- Completeness.- Locally convex final topology, topology of D(\Omega).- Precompact -- compact - complete.- The theorems of Banach--Dieudonne and Krein-Smulian.- The theorems of Eberlein--Grothendieck and Eberlein-Smulian.- The theorem of Krein.- Weakly compact sets in L_1(\mu).- \cB_0''''=\cB.- The theorem of Krein-Milman.- A The theorem of Hahn-Banach.- B Baire''s theorem and the uniform boundedness theorem.

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