IJPAM: Volume 1, No. 2 (2002)

A RESULT ON STRICTLY SEPARATING
FUNCTIONALS

Ömer Gök
Yildiz Technical University
Faculty of Arts and Sciences
Mathematics Dept., Davutpasa Campus
Istanbul, TURKEY
e-mail: gok@yildiz.edu.tr


Abstract.Let $\cal{S}$ be a linear subspace of Banach space operators which is closed in the weak operator topology. In this paper, we show that $\cal{S}$ is reflexive if a disjoint pair of separating functional and strictly separating functional exists.

Received: January 2, 2002

AMS Subject Classification: 47D15

Key Words and Phrases: strictly separating functionals, separating vectors

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2002
Volume: 1
Issue: 2