Title of article
Banach spaces with many boundedly complete basic sequences failing PCP
Author/Authors
Ginés L?pez Pérez، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
8
From page
2139
To page
2146
Abstract
We prove that there exist Banach spaces not containing 1, failing the point of continuity property and
satisfying that every semi-normalized basic sequence has a boundedly complete basic subsequence. This
answers in the negative the problem of Remark 2 in Rosenthal (2007) [12].
© 2010 Elsevier Inc. All rights reserved.
Keywords
Boundedly complete sequences , Point of continuity property , Supershrinking sequences
Journal title
Journal of Functional Analysis
Serial Year
2010
Journal title
Journal of Functional Analysis
Record number
840292
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