Sequence Lorentz Spaces and Their Geometric Structure
Sequence Lorentz Spaces and Their Geometric Structure
This article is dedicated to geometric structure of the Lorentz and Marcinkiewicz spaces in case of the pure atomic measure. We study complete criteria for order continuity, the Fatou property, strict monotonicity, and strict convexity in the sequence Lorentz spaces $$\gamma _{p,w}.$$ Next, we present a full characterization of extreme …