Articles

On Nuclear and Multiple Summing Bilinear Operators on c ₀ × c ₀

Published in: Quaestiones Mathematicae
Volume 33 , issue 2, pages: 253–261

DOI: 10.2989/16073606.2010.491214

Author(s): Gabriela BadeaDepartment of Mathematics, Romania,

Keywords: Bilinear nuclear operator, multiple summing operator,

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Abstract

In this paper we study the connections between the nuclear operators and the multiple summing bilinear ones defined on c ₀ × c ₀. We also give an example of a bilinear operator on c ₀ × c ₀, for which the condition to be nuclear and multiple p-summing is connected to vector-valued sequence spaces.

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