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Relatively uniform Banach lattices

Published:1975 Issue:1 Volume:52 Page:178-180
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Wirth Andrew

Abstract

Sequential relative uniform and norm convergence agree in a Banach lattice, if and only if it is equivalent to an M M space.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-052-01/S0002-9939-1975-0374862-6/S0002-9939-1975-0374862-6.pdf

Reference4 articles.

1. American Mathematical Society Colloquium Publications, Vol. XXV;Birkhoff, Garrett,1967

2. K. Knopp, Theory and application of infinite series, 2nd English ed., Blackie, London, 1951.

3. Sequential convergence in lattice groups;Leader, Solomon,1970

4. Stability of order convergence and regularity in Riesz spaces;Zaanen, A. C.;Studia Math.,1968

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1. Norm and relative uniform convergence;Quaestiones Mathematicae;2024-07-07

2. M-serially summing operators on Banach lattices;Annals of Functional Analysis;2024-03-16

3. Property (h) of Banach Lattice and Order-to-Norm Continuous Operators;Mathematics;2023-06-17

4. Some results of ($$\sigma $$-)Levi operators in Banach lattices;Positivity;2022-05-10

5. Normed lattices;Journal of Soviet Mathematics;1982

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