Subspaces of ℓ₂(X) and Rad(X) without local unconditional structure

• Autorzy: Ryszard A. Komorowski , Nicole Tomczak-Jaegermann
• Języki publikacji: EN

Abstrakty

EN

It is shown that if a Banach space X is not isomorphic to a Hilbert space then the spaces ℓ₂(X) and Rad(X) contain a subspace Z without local unconditional structure, and therefore without an unconditional basis. Moreover, if X is of cotype r < ∞, then a subspace Z of ℓ₂(X) can be constructed without local unconditional structure but with 2-dimensional unconditional decomposition, hence also with basis.

Kategorie tematyczne

• 46B03: Isomorphic theory (including renorming) of Banach spaces
• 46B07: Local theory of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 149
• Numer: 1
• Strony: 1-21

Daty

wydano

2002

Twórcy

autor

Ryszard A. Komorowski

• Institute of Mathematics, Wrocław Technical University, 50-370 Wrocław, Poland

autor

Nicole Tomczak-Jaegermann

• Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1

Identyfikatory

DOI

10.4064/sm149-1-1