Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

  • Banach space
  • weakly dense sequence
  • norm divergent sequence
  • weak hypercyclicity

Mathematics Subject Classification

46B20, 46B25; 46B45

Suggested citation

R. M. Aron, D. García, M. Maestre. “Construction of Weakly Dense, Norm Divergent Sequences.” Journal of Convex Analysis 16 (2009), No. 3&4, 667–672.

Copyright Banach Press 2009