On constructions of strong and uniformly minimal M-bases in Banach spaces

Archiv der Mathematik

Volumn 74, Issue 1, 2000, Pages 50-60

  Vershynin, R ^a,b  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

^b UNIVERSITY OF MISSOURI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034424038     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00000409     Document Type: Article

References (10)

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3. 2. Studia Math. 54, 149-159 (1975).
4. A PELCZYŃSKI, All separable Banach spaces admit for every ε > 0 fundamental total and bounded by 1 + ε biorthogonal sequences. Studia Math. 55, 295-304 (1976).
5. A. PLANS and A. REYES, On the geometry of sequences in Banach spaces. Arch. Math. 40, 452-458
6. SINGER, Bases in Banach spaces II. Berlin-Heidelberg-New York 1981.
7. P. TERENZI, On the theory of fundamental norming bounded biorthogonal systems in Banach spaces. Trans. Amer. Math. Soc. 299, 497-511 (1987).
8. P. TERENZI, Every norming M-basis of a separable Banach space has a block-perturbation which is norming strong M-basis. Extracta Math. 161-169 (1990).
9. P. TERENZI, Every separable Banach space has a bounded strong norming biorthogonal sequence which is also a Steinitz basis. Studia Math. 111, 207-222 (1994).
10. P. TERENZI, A positive answer to the basis problem. Israel J. Math. 104, 51-124 (1998).