M-bases in spaces of continuous functions on ordinals

Colloquium Mathematicum

Volumn 92, Issue 2, 2002, Pages 179-187

  Kalenda, Ondřej F K ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

Bounded projectional resolution; Countably norming markushevich bases; Ordinal segment

Indexed keywords

EID: 34547919371     PISSN: 00101354     EISSN: 17306302     Source Type: Journal    
DOI: 10.4064/cm92-2-3     Document Type: Article

References (10)

1. G. Alexandrov and A. Plichko, On connection between strong and norming Markushevich bases in nonseparable Banach spaces, to appear.
2. M. Fabian, Ĝateaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces, Wiley-Interscience, New York, 1997.
3. P. Habala, P. Hájek and V. Zizler, Introduction to Banach Spaces, lecture notes, Matfyzpress, Praha, 1996.
4. O. Kalenda, Valdivia compact spaces in topology and Banach space theory, Ex- tracta Math. 15 (2000), 1-85.
5. O. Kalenda, A characterization of weakly Lindelöf determined Banach spaces, Serdica Math. J., to appear.
6. O. Kalenda, Note on Markushevich bases in subspaces and quotients of Banach spaces, Bull. Polish Acad. Sci. Math., to appear.
7. A. N. Plichko, On projective resolutions of the identity operator and Markushevich bases, Dokl. Akad. Nauk SSSR 263 (1982), 543-546 (in Russian); English transl.: Soviet Math. Dokl. 25 (1982), 386-389.
8. A. N. Plichko, Projective resolutions, Markushevich bases and equivalent norms, Mat. Za- metki 34 (1983), 719-726 (in Russian).
9. A. N. Plichko and D. Yost, Complemented and uncomplemented subspaces of Banach spaces, Extracta Math. 15 (2000), 335-371.
10. P. Terenczi, Every separable Banach space has a bounded strong norming biorthogonal system which is also a Steinitz basis, Studia Math. 111 (1994), 207-222.