Journal of Convex Analysis 16 (2009), No. 3, 667--672
Copyright Heldermann Verlag 2009
Construction of Weakly Dense, Norm Divergent Sequences
Richard M. Aron
Department of Mathematical Sciences, Kent State University, Kent, OH 44242, U.S.A.
aron@math.kent.edu
Domingo García
Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, 46100 Burjasot - Valencia, Spain
domingo.garcia@uv.es
Manuel Maestre
Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, 46100 Burjasot - Valencia, Spain
manuel.maestre@uv.es
Let X be a separable Banach space. We provide an explicit construction of a sequence in X that tends to infinity in norm but which is weakly dense.
Keywords: Banach space, weakly dense sequence, norm divergent sequence, weak hypercyclicity.
MSC: 46B20, 46B25; 46B45
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