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June 2014 Banach lattice sums with hereditary Fatou properties
Mieczysław Mastyło, Enrique A. Sánchez-Pérez
Funct. Approx. Comment. Math. 50(2): 271-282 (June 2014). DOI: 10.7169/facm/2014.50.2.5

Abstract

We present a characterization of Banach function lattices with the Fatou property generated by the interpolation sum applied to infinite families of Banach lattices with the Fatou property. We also discuss the Köthe duality between the sum and the intersection constructions for Banach spaces.

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Mieczysław Mastyło. Enrique A. Sánchez-Pérez. "Banach lattice sums with hereditary Fatou properties." Funct. Approx. Comment. Math. 50 (2) 271 - 282, June 2014. https://doi.org/10.7169/facm/2014.50.2.5

Information

Published: June 2014
First available in Project Euclid: 26 June 2014

zbMATH: 1312.46029
MathSciNet: MR3229061
Digital Object Identifier: 10.7169/facm/2014.50.2.5

Subjects:
Primary: 46E30
Secondary: 46B42, 47B38

Rights: Copyright © 2014 Adam Mickiewicz University

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Vol.50 • No. 2 • June 2014
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