A CHARACTERIZATION OF LINEAR OPERATORS IN CERTAIN PARANORMED SEQUENCE SPACES

Original Articles

A CHARACTERIZATION OF LINEAR OPERATORS IN CERTAIN PARANORMED SEQUENCE SPACES

Published in: Quaestiones Mathematicae
Volume 18 , issue 1-3 , 1995 , pages: 295–307
DOI: 10.1080/16073606.1995.9631802
Author(s): E. Malkowsky , Federal Republic of Germany
Keywords: 46A45 , 46B15

Abstract

We define a new class B of sets of strongly summable and bounded sequences, determine their first and second α- and β-duals, and characterize linear operators on the spaces in B.

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