Abstract
Let (P) be a property of Banach spaces and suppose that we are given a class of separable Banach spaces such that every space in the class has property (P). The main problem addressed in the chapter is whether we can find a separable Banach space Y which has property (P) and contains an isomorphic copy of every member of the given class.We will consider quite classical properties of Banach spaces such as “being reflexive,” “having separable dual,” and “being non-universal.”
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© 2010 Springer-Verlag Berlin Heidelberg
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Dodos, P. (2010). Strongly Bounded Classes of Banach Spaces. In: Banach Spaces and Descriptive Set Theory: Selected Topics. Lecture Notes in Mathematics(), vol 1993. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12153-1_7
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DOI: https://doi.org/10.1007/978-3-642-12153-1_7
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