Full entry |
PDF
(0.2 MB)
Feedback

uniformly bounded sequences of continuous real-valued functions; convergence index; spreading models of $l^{1}$; Baire-1 functions

References:

[1] Alspach D., Argyros S.: **Complexity of weakly null sequences**. Dissertations Mathematicae CCCXXI (1992), 1-44. MR 1191024 | Zbl 0787.46009

[2] Alspach D., Odell E.: **Averaging null sequences**. Lecture Notes in Math. 1332, Springer, Berlin, 1988. MR 0967092

[3] Argyros S.A., Mercourakis S., Tsarpalias A.: **Convex unconditionality and summability of weakly null sequences**. Israel J. Math. 107 (1998), 157-193. MR 1658551 | Zbl 0942.46007

[4] Bourgain J.: **On convergent sequences of continuous functions**. Bull. Soc. Math. Belg. Ser. B 32 (1980), 235-249. MR 0682645 | Zbl 0474.54008

[5] Haydon R., Odell E., Rosenthal H.: **On certain classes of Baire-1 functions with applications to Banach space theory**. Longhorn Notes, The University of Texas at Austin, Funct. Anal. Sem. 1987-89. Zbl 0762.46006

[6] Kechris A.S., Louveau A.: **A classification of Baire class 1 functions**. Trans. Amer. Math. Soc. 318 (1990), 209-236. MR 0946424 | Zbl 0692.03031

[7] Kiriakouli P.: **Namioka spaces, Baire-1 functions, Combinatorial principles of the type of Ramsey and their applications in Banach spaces theory (in Greek)**. Doctoral Dissertation, Athens Univ., 1994.

[8] Kiriakouli P.: **Classifications and characterizations of Baire-1 functions**. Comment. Math. Univ. Carolinae 39.4 (1998), 733-748. MR 1715462

[9] Kiriakouli P.: **On combinatorial theorems with applications to Banach spaces theory**. preprint, 1994.

[10] Mercourakis S., Negrepontis S.: **Banach spaces and topology II**. Recent Progress in General Topology, M. Hušek and J. van Mill, eds., Elsevier Science Publishers B.V., 1992, pp.495-536. Zbl 0832.46005

[11] Rosenthal H.P.: **A characterization of Banach spaces containing $l^{1}$**. Proc. Nat. Acad. Sci. U.S.A. 71 (1974), 2411-2413. MR 0358307