Weakly null sequences with an unconditional subsequence
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- by Alexander D. Arvanitakis PDF
- Proc. Amer. Math. Soc. 134 (2006), 67-74 Request permission
Abstract:
In the present paper we provide sufficient conditions such that a normalized pointwise convergent to zero sequence in $C(K, X)$ with $K$ a compact space and $X$ a Banach space has an unconditional subsequence. As a consequence we obtain that any such sequence of functions $(f_n)_n$ with finite and uniformly bounded cardinality of their range admits an unconditional subsequence.References
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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
- Received by editor(s): April 2, 2004
- Received by editor(s) in revised form: September 1, 2004
- Published electronically: August 12, 2005
- Additional Notes: The author was partially supported by EPEAEK research program Pythagoras
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 67-74
- MSC (2000): Primary 05D10, 46B15
- DOI: https://doi.org/10.1090/S0002-9939-05-07948-7
- MathSciNet review: 2170544