On weak compactness in L_1 spaces

0337041 - MÚ 2010 RIV US eng J - Journal Article
Fabian, Marián - Montesinos, V. - Zizler, Václav
On weak compactness in L_1 spaces.
Rocky Mountain Journal of Mathematics. Roč. 39, č. 6 (2009), s. 1885-1893. ISSN 0035-7596. E-ISSN 1945-3795
R&D Projects: GA AV ČR(CZ) IAA100190610; GA AV ČR IAA100190502; GA AV ČR IAA1019103
Institutional research plan: CEZ:AV0Z10190503
Keywords : weak compactness * subspace of L_1 * superreflexive space
Subject RIV: BA - General Mathematics
Impact factor: 0.260, year: 2009

We use the concept of strong generating and a simple renorming theorem to give new proofs to slight generalizations of some results of Argyros and Rosenthal on weakly compact sets in L_1(mu) spaces for finite measures mu.
Permanent Link: http://hdl.handle.net/11104/0181131