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Abstract M- and Abstract L-Spaces of Polynomials on Banach Lattices
Published online by Cambridge University Press: 13 February 2015
Abstract
In this paper we use the norm of bounded variation to study multilinear operators and polynomials on Banach lattices. As a result, we obtain when all continuous multilinear operators and polynomials on Banach lattices are regular. We also provide new abstract M- and abstract L-spaces of multilinear operators and polynomials and generalize all the results by Grecu and Ryan, from Banach lattices with an unconditional basis to all Banach lattices.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 58 , Issue 3 , October 2015 , pp. 617 - 629
- Copyright
- Copyright © Edinburgh Mathematical Society 2015
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