Eberlein-SˇMulian Theorem

Demessie, Eshetu (2013) Eberlein-SˇMulian Theorem. Masters thesis, Addis Ababa University.

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Abstract

A subset A of a Banach space X is called weakly sequentially compact if every sequence in A has a weak cluster point in X. The difficulty implication of the Eberlein-Sˇmulian theorem states that such a set is already relatively weakly compact. This implication was proved by W. Eberlein .

Item Type: Thesis (Masters)
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Africana
Depositing User: Selom Ghislain
Date Deposited: 29 Jun 2018 11:22
Last Modified: 29 Jun 2018 11:24
URI: http://thesisbank.jhia.ac.ke/id/eprint/6289

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