|
A subsequence principle characterizing Banach spaces containing $c_0$
Author(s):
Haskell
Rosenthal
Journal:
Bull. Amer. Math. Soc.
30
(1994),
227-233.
MSC (1991):
Primary 46B03, 46B25;
Secondary 04A15
MathSciNet review:
1249355
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- [Be]
- S.~F. Bellenot, More quasi-reflexive subspaces, Proc. Amer. Math. Soc. \textbf{101} (1987), 693--696. MR 911035
- [Bes-P]
- C. Bessaga and A. Pe{\l }czy\'nski, On bases and unconditional convergence of series in Banach spaces, Studia Math. \textbf{17} (1958), 151--164. MR 115069
- [Bo-De]
- J. Bourgain and F. Delbaen, A class of special ${\Cal L}^\infty $-spaces, Acta Math. \textbf{145} (1980), 155--176. MR 590288
- [Do]
- L.~E. Dor, On sequences spanning a complex $\ell ^1$ space, Proc. Amer. Math. Soc. \textbf{47} (1975), 515--516. MR 358308
- [HOR]
- R. Haydon, E. Odell, and H. Rosenthal, \emph{On certain classes of Baire-\RM 1 functions with applications to Banach space theory}, Springer-Verlag, New York, 1991 pp.~1--35. MR 1126734
- [KL]
- A.~S. Kechris and A. Louveau, A classification of Baire class \RM 1 functions, Trans. Amer. Math. Soc. \textbf{318} (1990), 209--236. MR 946424
- [R1]
- H. Rosenthal, A characterization of Banach spaces containing $\ell ^1$, Proc. Nat. Acad. Sci. U.S.A. \textbf{71} (1974), 2411--2413. MR 358307
- [R2]
- H. Rosenthal, Some recent discoveries in the isomorphic theory of Banach spaces, Bull. Amer. Math. Soc. (N.S.) \textbf{84} (1978), 803--831. MR 499730
- [R3]
- H. Rosenthal, A characterization of Banach spaces containing $c_0$, J. Amer. Math. Soc. (to appear). MR 1242455
- [R4]
- H. Rosenthal, Differences of bounded semi-continuous functions, in preparation. MR
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1991):
46B03, 46B25, 04A15
Retrieve articles in all Journals with MSC
(1991):
46B03, 46B25, 04A15
Additional Information:
DOI:
10.1090/S0273-0979-1994-00494-X
PII:
S 0273-0979(1994)00494-X
|
