ON THE COMPLEXITY.pdf (470.38 kB)
On the complexity of some inevitable classes of separable Banach spaces.
journal contribution
posted on 2018-02-13, 00:00 authored by BM BRAGA.In this paper, we study the descriptive complexity of some inevitable
classes of Banach spaces. Precisely, as shown in [Go], every Banach
space either contains a hereditarily indecomposable subspace or an unconditional
basis, and, as shown in [FR], every Banach space either contains a minimal
subspace or a continuously tight subspace. In these notes, we study the complexity of those inevitable classes as well as the complexity of containing a subspace in any of those classes.
History
Publisher Statement
This is the author’s version of a work that was accepted for publication in Journal of Mathematical Analysis and Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Analysis and Applications. 2015. 431(1): 682-701. DOI: 10.1016/j.jmaa.2015.05.045.Publisher
Elsevier Inc.issn
0022-247XIssue date
2014-10-01Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC