# alaoglu造句

## 例句與造句

- 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. - It's difficult to find
*alaoglu*in a sentence. 用*alaoglu*造句挺難的 - 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. - 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.

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