Lattice characterization of extreme positive operators

Research Article

Lattice characterization of extreme positive operators

Published in: Quaestiones Mathematicae
Volume 47 , issue 6 , 2024 , pages: 1327–1337
DOI: 10.2989/16073606.2024.2320446
Author(s): Jamel Jaber Tunis-El Manar University, Tunis , Adnen Khalfaoui Tunis-El Manar University, Tunis
Keywords: Primary: 64B42 , Secondary: 47B65 , Stone operators , Banach lattice , extreme points
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Abstract

We present a lattice-based characterization of extreme points whithin well-defined convex subsets of positive operators, operating between Banach lattices with quasi-interior points.
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