Skip to main content
MathOverflow

Return to Answer

Rollback to Revision 2
Source Link
Todd Trimble
Todd Trimble
  • 53.3k
  • 6
  • 205
  • 322

Have deleted this answerThis is a well-known fact in Banach space theory (even locally convex space theory in a suitable form). It was intended to be helpful butSee, alasfor example, led to the accusation that I am a trollclassical monographs of Köthe or Schaefer. The direction you are looking for follows from the Alaoglu theorem (for the version involving compactness). For the variants, see the Eberlein-Smulian theorem, e.g., in Grothendieck's text.

Have deleted this answer. It was intended to be helpful but, alas, led to the accusation that I am a troll.

This is a well-known fact in Banach space theory (even locally convex space theory in a suitable form). See, for example, the classical monographs of Köthe or Schaefer. The direction you are looking for follows from the Alaoglu theorem (for the version involving compactness). For the variants, see the Eberlein-Smulian theorem, e.g., in Grothendieck's text.

deleted 252 characters in body
Source Link
traun
traun
  • 54
  • 1
  • 2

This is a well-known fact in Banach space theory (even locally convex space theory in a suitable form)Have deleted this answer. See, for example It was intended to be helpful but, the classical monographs of Köthe or Schaefer. The direction you are looking for follows from the Alaoglu theorem (for the version involving compactness). For the variantsalas, seeled to the Eberlein-Smulian theorem, e.g., in Grothendieck's textaccusation that I am a troll.

This is a well-known fact in Banach space theory (even locally convex space theory in a suitable form). See, for example, the classical monographs of Köthe or Schaefer. The direction you are looking for follows from the Alaoglu theorem (for the version involving compactness). For the variants, see the Eberlein-Smulian theorem, e.g., in Grothendieck's text.

Have deleted this answer. It was intended to be helpful but, alas, led to the accusation that I am a troll.

added 4 characters in body
Source Link
traun
traun
  • 54
  • 1
  • 2

This is a well-known fact in Banach space theory (even locally convex space theory in a suitable form). See, for example, the classical momographsmonographs of Köthe or SchäfferSchaefer. The direction you are looking for follows from the Alaoglu theorem (for the version involving compactness). For the variants, see the KreinEberlein-MilmanSmulian theorem, e.g., in Grothendieck's text.

This is a well-known fact in Banach space theory (even locally convex space theory in a suitable form). See, for example, the classical momographs of Köthe or Schäffer. The direction you are looking for follows from the Alaoglu theorem (for the version involving compactness). For the variants, see the Krein-Milman theorem, e.g., in Grothendieck's text.

This is a well-known fact in Banach space theory (even locally convex space theory in a suitable form). See, for example, the classical monographs of Köthe or Schaefer. The direction you are looking for follows from the Alaoglu theorem (for the version involving compactness). For the variants, see the Eberlein-Smulian theorem, e.g., in Grothendieck's text.

Source Link
traun
traun
  • 54
  • 1
  • 2