Kutzarova, D. N. Every (\(\beta\) )-space has the Banach-Saks property. (English) Zbl 0696.46016 C. R. Acad. Bulg. Sci. 42, No. 11, 9-11 (1989). The condition (\(\beta)\), introduced by S. Rolewicz [Stud. Math. 85, 27-35 (1987; Zbl 0642.46011)] describes a certain convexity property of the underlying norm of a Banach space (similar to uniform convexity, near uniform convexity, etc.). Under equivalent renorming, every (\(\beta)\)- space has the Banach-Saks property. Relations with other notions of convexity are also discussed. Reviewer: J.Szulga Cited in 1 ReviewCited in 1 Document MSC: 46B20 Geometry and structure of normed linear spaces Keywords:condition (\(\beta \) ); near uniform convexity; equivalent renorming; Banach-Saks property Citations:Zbl 0642.46011 PDFBibTeX XMLCite \textit{D. N. Kutzarova}, C. R. Acad. Bulg. Sci. 42, No. 11, 9--11 (1989; Zbl 0696.46016)