Examples of k-iterated spreading models

• Autorzy: Spiros A. Argyros , Pavlos Motakis
• Języki publikacji: EN

Abstrakty

EN

It is shown that for every k ∈ ℕ and every spreading sequence {eₙ}ₙ that generates a uniformly convex Banach space E, there exists a uniformly convex Banach space $X_{k+1}$ admitting {eₙ}ₙ as a k+1-iterated spreading model, but not as a k-iterated one.

Kategorie tematyczne

• 46B45: Banach sequence spaces
• 46B03: Isomorphic theory (including renorming) of Banach spaces
• 46B06: Asymptotic theory of Banach spaces
• 46B25: Classical Banach spaces in the general theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 217
• Numer: 1
• Strony: 57-78

Daty

wydano

2013

Twórcy

autor

Spiros A. Argyros

• Department of Mathematics, Faculty of Applied Sciences, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece

autor

Pavlos Motakis

• Department of Mathematics, Faculty of Applied Sciences, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece

Identyfikatory

DOI

10.4064/sm217-1-4