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International Journal of Mathematics and Mathematical Sciences 
Volume 20 (1997), Issue 1, Pages 111-114
doi:10.1155/S0161171297000161

The dual space of β(Γ)

Dennis Nemzer

Department of Mathematics, California State University, Stanislaus, Tudock 95382, CA, USA

Received 17 August 1995

Abstract

The space of Boehmians with Δ-convergence is a complete topological vector space in which the topology is induced by an invariant metric. We show that the dual space of the space of periodic Boehmians can be identified with the class of trigonometric polynomials.