Construction of Weakly Dense, Norm Divergent Sequences

Abstract

Let X be a separable Banach space. We provide an explicit construction of a sequence in X that tends to

\infty

in norm but which is weakly dense.

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

Department of Mathematical Sciences, Kent State University, Kent, OH 44242, U.S.A.

Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, 46100 Burjasot - Valencia, Spain

Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, 46100 Burjasot - Valencia, Spain

46B20, 46B25; 46B45

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Published by Heldermann Verlag, 2009. Rights now held by Banach Press LLC.