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alaoglu造句

"alaoglu"是什么意思  
造句与例句手机版
  • Its importance comes from the Banach Alaoglu theorem.
  • The Banach Alaoglu theorem depends on Tychonoff's theorem about infinite products of compact spaces.
  • Conversely, every bounded sequence in a Hilbert space admits weakly convergent subsequences ( Alaoglu's theorem ).
  • Alaoglu and ErdQs's conjecture remains open, although it has been checked up to at least 10 7.
  • Under the weak topology the bounded sets coincide with the relatively compact sets which leads to the important Bourbaki Alaoglu theorem.
  • The weak operator topology is useful for compactness arguments, because the unit ball is compact by the Banach-Alaoglu theorem.
  • The "'Bourbaki Alaoglu theorem "'is a generalization by Bourbaki to dual topologies on locally convex spaces.
  • Unknown to Alaoglu and ErdQs, about 30 pages of Ramanujan's 1915 paper " Highly Composite Numbers " were suppressed.
  • Consequently, for normed vector space ( and hence Banach spaces ) the Bourbaki Alaoglu theorem is equivalent to the Banach Alaoglu theorem.
  • Consequently, for normed vector space ( and hence Banach spaces ) the Bourbaki Alaoglu theorem is equivalent to the Banach Alaoglu theorem.
  • It's difficult to see alaoglu in a sentence. 用alaoglu造句挺难的
  • In their 1944 paper, Alaoglu and ErdQs conjectured that the ratio of two consecutive colossally abundant numbers was always a prime number.
  • Alaoglu and ErdQs noted that all superabundant numbers are highly abundant, and asked whether there are infinitely many highly abundant numbers that are not superabundant.
  • Since the Banach Alaoglu theorem is proven via Tychonoff's theorem, it relies on the ZFC axiomatic framework, in particular the axiom of choice.
  • By the Banach Alaoglu theorem and the reflexivity of " H ", the closed unit ball " B " is weakly compact.
  • It should be cautioned that despite appearances, the Banach Alaoglu theorem does " not " imply that the weak-* topology is locally compact.
  • Alaoglu and ErdQs's conjecture would also mean that no value of ? gives four different integers " n " as maxima of the above function.
  • Non-separable Banach spaces cannot embed isometrically in the separable space, but for every Banach space, one can find a Banach & ndash; Alaoglu theorem.
  • A special case of the conjecture is mentioned in a 1944 paper of Leonidas Alaoglu and Paul ErdQs who suggest that it had been considered by Carl Ludwig Siegel.
  • Alaoglu and ErdQs studied how many different values of " n " could give the same maximal value of the above function for a given value of ?.
  • Alaoglu's theorem states that if " E " is a topological vector space, then every equicontinuous subset of " E * " is weak-* relatively compact.
  • 更多造句:  1  2
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