Examples of $k$-iterated spreading models

Volume 217 / 2013

Spiros A. Argyros, Pavlos Motakis Studia Mathematica 217 (2013), 57-78 MSC: Primary 46B03, 46B06, 46B25, 46B45. DOI: 10.4064/sm217-1-4

Abstract

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

Authors

  • Spiros A. ArgyrosDepartment of Mathematics
    Faculty of Applied Sciences
    National Technical University of Athens
    Zografou Campus
    15780, Athens, Greece
    e-mail
  • Pavlos MotakisDepartment of Mathematics
    Faculty of Applied Sciences
    National Technical University of Athens
    Zografou Campus
    15780, Athens, Greece
    e-mail

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