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Dunford-Pettis sets
Author(s):
Paul
Lewis
Journal:
Proc. Amer. Math. Soc.
129
(2001),
3297-3302.
MSC (2000):
Primary 46B20;
Secondary 46B15, 46B45
Posted:
April 2, 2001
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Abstract:
Bibasic sequences are used to study relative weak compactness and relative norm compactness of Dunford-Pettis sets.
References:
-
- 1.
- K. Andrews, Dunford-Pettis sets in the space of Bochner integrable functions, Math. Ann. 241(1979), 35-41. MR 80f:46041
- 2.
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- 4.
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- 7.
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 , Proc. Nat. Acad. Sci. (U.S.A) 71(1974), 2411-2413. MR 50:10773 - 13.
- H. Rosenthal, Pointwise compact subsets of the first Baire class, Amer. J. Math. 99(1977), 362-378. MR 55:11032
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- I. Singer, Bases in Banach spaces II, Springer-Verlag, Berlin, 1981. MR 82k:46024
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Additional Information:
Paul
Lewis
Affiliation:
Department of Mathematics, University of North Texas, Denton, Texas 76203
Email:
Lewis@unt.edu
DOI:
10.1090/S0002-9939-01-05963-9
PII:
S 0002-9939(01)05963-9
Keywords:
Bibasic sequences,
Dunford--Pettis sets
Received by editor(s):
April 14, 1998
Received by editor(s) in revised form:
March 15, 2000
Posted:
April 2, 2001
Communicated by:
Dale Alspach
Copyright of article:
Copyright
2001,
American Mathematical Society
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