Weakly compact generating and shrinking Markuševič bases

0076228 - MÚ 2007 RIV BG eng J - Journal Article
Fabian, Marián - Hájek, Petr Pavel - Montesinos, V. - Zizler, Václav
Weakly compact generating and shrinking Markuševič bases.
[Slabé kompaktní generování a shrinking Markuševičovy báze.]
Serdica Mathematical Journal. Roč. 32, č. 4 (2006), s. 277-288. ISSN 1310-6600
R&D Projects: GA AV ČR(CZ) IAA1019503; GA ČR(CZ) GA201/04/0090; GA AV ČR(CZ) IAA1019205
Institutional research plan: CEZ:AV0Z10190503
Keywords : Markuševič base * weakly compact generating
Subject RIV: BA - General Mathematics

It is shown that most of the well known classes of nonseparable Banach spaces related to the weakly compact generating can be characterized by elementary properties of the closure of the coefficient space of Markuševič bases for such spaces. In some cases, such property is then shared by all Markuševič bases in the space.

Pro většinu známých tříd neseparabilních prostorů je ukázána charakterizace pomocí uzávěru prostoru koeficientu Markuševičovy báze.
Permanent Link: http://hdl.handle.net/11104/0143387