A study of conditional spreading sequences

作者：Argyros Spiros A; Motakis Pavlos^*; Sari Bunyamin

来源：Journal of Functional Analysis, 2017, 273(3): 1205-1257.

DOI：10.1016/j.jfa.2017.04.009

• Spreading sequences
• Spreading models
• Conditional spreading sequences
• Conditional spreading models

It is shown that every conditional spreading sequence can be decomposed into two well behaved parts, one being unconditional and the other being convex block homogeneous, i.e. equivalent to its convex block sequences. This decomposition is then used to prove several results concerning the structure of spaces with conditional spreading bases as well as results in the theory of conditional spreading models. Among other things, it is shown that the space C(omega(omega)) is universal for all spreading models, i.e., it admits all spreading sequences, both conditional and unconditional, as spreading models. Moreover, every conditional spreading sequence is generated as a spreading model by a sequence in a space that is quasi reflexive of order one.

• 出版日期2017-8-1