Original Articles

A NOTE ON GENERALIZED TAUBERIAN OPERATORS

Published in: Quaestiones Mathematicae
Volume 10 , issue 4 , 1987 , pages: 377–390

DOI: 10.1080/16073606.1987.9632137

Author(s): Teresa Alvarez Departamento de Teoría de Funciones, SPAIN

Keywords: Primary: 47D30 , Secondary: 46B20

Abstract

A bounded linear operator T: X → Y (Banach spaces) is Tauberian provided T “x” ε J_YY implies x” ε J_xX. We use a subspace S(X) of X” such that S(X) replaces the subspace J_XX and so we can define “a generalized Tauberian operator”. In this paper we study some properties of the generalized Tauberian operators.

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