Goa, Mengistu (PhD)Demessie, Eshetu2018-07-132023-11-042018-07-132023-11-042013-02http://etd.aau.edu.et/handle/123456789/8410A 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 di_culty implication of the Eberlein- _ Smulian theorem states that such a set is already relatively weakly compact. This implication was proved by W. EberleinenEberlein- _ Smulian TheoremThesis