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Weakly null sequences with an unconditional subsequence
Author:
Alexander D. Arvanitakis
Journal:
Proc. Amer. Math. Soc. 134 (2006), 67-74
MSC (2000):
Primary 05D10, 46B15
Posted:
August 12, 2005
MathSciNet review:
2170544
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Abstract: In the present paper we provide sufficient conditions such that a normalized pointwise convergent to zero sequence in  with  a compact space and  a Banach space has an unconditional subsequence. As a consequence we obtain that any such sequence of functions  with finite and uniformly bounded cardinality of their range admits an unconditional subsequence.
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Additional Information
Alexander D. Arvanitakis
Affiliation:
Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece
Email:
aarva@math.ntua.gr
DOI:
http://dx.doi.org/10.1090/S0002-9939-05-07948-7
PII:
S 0002-9939(05)07948-7
Received by editor(s):
April 2, 2004
Received by editor(s) in revised form:
September 1, 2004
Posted:
August 12, 2005
Additional Notes:
The author was partially supported by EPEAEK research program Pythagoras
Communicated by:
N. Tomczak-Jaegermann
Article copyright:
© Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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