Daniele Puglisi

Department of Mathematics and Computer Sciences
University of Catania
Viale Andrea Doria, 6
I-95125 Catania CT

Office: 346
Office phone: ++39 095 7383055
Fax: ++39 095 330094

E-mail: dpuglisiunict.it

Research

In

• M. De Kock, D. Puglisi; In the Range of a vector Measure. Operator Theory: Advances and Applications, Vol. 201 (2010), 285-292.

among others things, the authors show that if X is a separable Banach space, and suppose C is a countable subset of X that lies in the range of an S**-valued measure. Then C lies in the range of a S-valued measure.

Question

• Does the separability hypothesis can be avoided?

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