Titlebook: Biorthogonal Systems in Banach Spaces; Petr Hájek,Vicente Montesinos Santalucía,Václav Zi Textbook 2008 Springer-Verlag New York 2008 Bana

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Bank- und Kundenloyalit?t im Wandelof M-bases. It is known that WCG spaces can be characterized by the existence of a weakly compact M-basis, although not every M-basis in such a space is necessarily weakly compact (that it is so when using some more precise orthogonal structures will be investigated in Chapter 7). The subtle distinc

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Lean Management Beyond Manufacturing begins by showing the connection between a form of one-sided biorthogonal systems and the existence of support sets in nonseparable Banach spaces. Set theory once again plays an important role because, building on some previous work of Rolewicz, Borwein, Kutzarova, Lazar, Bell, Ginsburg, Todor?evi?

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Separable Banach Spaces,ble setting, related to this structure. When searching for a system of coordinates to represent any vector of a (separable) Banach space, a natural approach is to consider the concept of a Schauder basis. Unfortunately, not every separable Banach space has such a basis, as was proved by Enflo in [En

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Universality and the Szlenk Index,aces with additional properties. Historically, this area of research arose from one of the problems from the Scottish book due to Banach and Mazur. The problem asked whether there exists a separable Banach (resp. reflexive separable) space that contains an isomorphic copy of every separable Banach (

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Biorthogonal Systems in Nonseparable Spaces,on of long Schauder bases; the first section introduces this notion, which is a natural generalization of the usual Schauder basis. The first section also contains Plichko’s improvement of the natural “exhaustion” argument that yields the existence of a bounded total biorthogonal system in every Ban

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