Norm closed operator ideals in Lorentz sequence spaces

2011/08/30 by Anna Kaminska, Alexey I. Popov, Kaminska, Anna +7
Mathematics · #47B37 #FOS: Mathematics #Functional Analysis (math.FA) #Primary: 47L20. Secondary: 47B10 #math.FA #msc:47B10 #msc:47B37 #msc:47L20.

paper · pdf · doi:10.48550/arxiv.1108.6026

25 pages

arxiv created 2011/08/30 · arxiv updated 2011/08/31

Abstract

In this paper, we study the structure of closed algebraic ideals in the algebra of operators acting on a Lorentz sequence space.

Related

• Closed ideals of operators acting on some families of sequence spaces
• Sequence-singular operators
• A new complemented subspace for the Lorentz sequence spaces, with an application to its lattice of closed ideals
• Closed ideals of operators on the Baernstein and Schreier spaces
• Banach spaces for which the space of operators has 2^{\mathfrak c} closed ideals