### Some articles on *alaoglu*:

Banach–

... In functional analysis and related branches of mathematics, the Banach–

**Alaoglu**Theorem... In functional analysis and related branches of mathematics, the Banach–

**Alaoglu**theorem (also known as**Alaoglu**'s theorem) states that the closed unit ball of the dual space of a normed ... in 1940 by the mathematician Leonidas**Alaoglu**... Since the Banach–**Alaoglu**theorem is proven via Tychonoff's theorem, it relies on the ZFC axiomatic framework, in particular the axiom of choice ...Banach–

... The Bourbaki–Alaoglu theorem is a generalization by Bourbaki to dual topologies ... In the case of a normed vector space, the polar of a neighbourhood is closed and norm-bounded in the dual space ...

**Alaoglu**Theorem - Generalization: Bourbaki–**Alaoglu**Theorem... The Bourbaki–Alaoglu theorem is a generalization by Bourbaki to dual topologies ... In the case of a normed vector space, the polar of a neighbourhood is closed and norm-bounded in the dual space ...

Leonidas

... Leonidas

**Alaoglu**... Leonidas

**Alaoglu**(March 19, 1914 – August 1981) was a Canadian-American mathematician, most famous for his widely-cited result called**Alaoglu**'s ...Sequential Banach–

... A special case of the Banach–

**Alaoglu**Theorem... A special case of the Banach–

**Alaoglu**theorem is the sequential version of the theorem, which asserts that the closed unit ball of the dual space of a separable normed vector space is ... opposed to the general case, which is based on the axiom of choice), the sequential Banach–**Alaoglu**theorem is often used in the field of partial differential equations to construct ... sequence which approaches the infimum of F, use the sequential Banach–**Alaoglu**theorem to extract a subsequence that converges in the weak ...Leonidas

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**Alaoglu**- Life and Work...

**Alaoglu**was born in Red Deer, Alberta to Greek parents ... His doctoral thesis is the source of**Alaoglu**'s theorem ... The Bourbaki–**Alaoglu**theorem is a generalization of this result by Bourbaki to dual topologies ...Related Subjects

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