Open Access
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.

Copyright © 2014 Adam Mickiewicz University
Mieczysław Mastyło and Enrique A. Sánchez-Pérez "Banach lattice sums with hereditary Fatou properties," Functiones et Approximatio Commentarii Mathematici 50(2), 271-282, (June 2014). https://doi.org/10.7169/facm/2014.50.2.5
Published: June 2014
Vol.50 • No. 2 • June 2014
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