Abstract
This last chapter emphasizes some applications of isoperimetric methods and of process techniques of Probability in Banach spaces to the local theory of Banach spaces. The applications which we present are only a sample of some of the recent developments in the local theory of Banach spaces (and we refer to the lists of references, and seminars and proceedings, for further main examples in the historical developments). They demonstrate the power of probabilistic ideas in this context. This chapter is organized along its subtitles of rather independent context. Several questions and conjectures are presented in addition, some with details as in Sections 15.2 and 15.6, the others in the last paragraph on miscellaneous problems.
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© 1991 Springer-Verlag Berlin Heidelberg
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Ledoux, M., Talagrand, M. (1991). Applications to Banach Space Theory. In: Probability in Banach Spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20212-4_17
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DOI: https://doi.org/10.1007/978-3-642-20212-4_17
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