Examples of k-iterated spreading models

作者：Argyros Spiros A^*; Motakis Pavlos

来源：Studia Mathematica, 2013, 217(1): 57-78.

DOI：10.4064/sm217-1-4

• spreading models
• k-iterated spreading models
• uniformly convex Banach spaces
• symmetric bases

It is shown that for every k is an element of N and every spreading sequence {e(n)}(n) that generates a uniformly convex Banach space E, there exists a uniformly convex Banach space Xk+1 admitting {e(n)}(n), as a k+1-iterated spreading model, but not as a k-iterated one.

• 出版日期2013