An indecomposable and unconditionally saturated Banach space

• Autorzy: Spiros A. Argyros , Antonis Manoussakis
• Języki publikacji: EN

Abstrakty

EN

We construct an indecomposable reflexive Banach space $X_{ius}$ such that every infinite-dimensional closed subspace contains an unconditional basic sequence. We also show that every operator $T ∈ ℬ (X_{ius})$ is of the form λI + S with S a strictly singular operator.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 159
• Numer: 1
• Strony: 1-32

Daty

wydano

2003

Twórcy

autor

Spiros A. Argyros

• Department of Mathematics, National Technical University of Athens, Athens, Greece

autor

Antonis Manoussakis

• Department of Sciences, Section of Mathematics, Technical University of Crete, Chania, Crete, Greece

Identyfikatory

DOI

10.4064/sm159-1-1