Strict u-ideals in Banach spaces

• Autorzy: Vegard Lima , Åsvald Lima
• Języki publikacji: EN

Abstrakty

EN

We study strict u-ideals in Banach spaces. A Banach space X is a strict u-ideal in its bidual when the canonical decomposition $X*** = X* ⊕ X^{⊥}$ is unconditional. We characterize Banach spaces which are strict u-ideals in their bidual and show that if X is a strict u-ideal in a Banach space Y then X contains c₀. We also show that $ℓ_{∞}$ is not a u-ideal.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B04: Isometric theory of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 195
• Numer: 3
• Strony: 275-285

Daty

wydano

2009

Twórcy

autor

Vegard Lima

• Aalesund University College, Service Box 17, N-6025 Ålesund, Norway

autor

Åsvald Lima

• Department of Mathematics, University of Agder, Serviceboks 422, 4604 Kristiansand, Norway

Identyfikatory

DOI

10.4064/sm195-3-6