"On quantification of weak sequential completeness"@en . "Journal of Functional Analysis" . "11"^^ . . . . . "On quantification of weak sequential completeness" . . "Kalenda, Ond\u0159ej" . . . "218113" . "On quantification of weak sequential completeness"@en . . . . "10" . "2"^^ . "0022-1236" . "On quantification of weak sequential completeness" . . . "We consider several quantities related to weak sequential completeness of a Banach space and prove some of their properties in general and in L-embedded Banach spaces, improving in particular an inequality of G. Godefroy, N. Kalton and D. Li. We show some examples witnessing natural limits of our positive results, in particular, we construct a separable Banach space X with the Schur property that cannot be renormed to have a certain quantitative form of weak sequential completeness, thus providing a partial answer to a question of G. Godefroy."@en . . "3"^^ . . "RIV/00216208:11320/11:10099052" . "10.1016/j.jfa.2011.02.006" . "We consider several quantities related to weak sequential completeness of a Banach space and prove some of their properties in general and in L-embedded Banach spaces, improving in particular an inequality of G. Godefroy, N. Kalton and D. Li. We show some examples witnessing natural limits of our positive results, in particular, we construct a separable Banach space X with the Schur property that cannot be renormed to have a certain quantitative form of weak sequential completeness, thus providing a partial answer to a question of G. Godefroy." . "P(IAA100190901), Z(MSM0021620839)" . "000288308200006" . . . . "Pfitzner, Hermann" . "[2D7F5C3F133C]" . "Quantitative versions of weak sequential completeness; L-embedded Banach space; Weakly sequentially complete Banach space"@en . . "260" . "RIV/00216208:11320/11:10099052!RIV12-AV0-11320___" . . "11320" . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "Spurn\u00FD, Ji\u0159\u00ED" .