Stability in Banach spaces. (English) Zbl 1025.46007
Many recent results concerning whether a Banach space \(X\) would contain an isomorph of some \(l_p\) or \(c_0\) are given. Topics include: Ramsey theory, Looking for \(l_p\), and Gowers’s dichotomy theorem. A special feature are the open problems and references.
Reviewer: J.Howard (Las Vegas/New Mexico)
MSC:
46B03 | Isomorphic theory (including renorming) of Banach spaces |
46-02 | Research exposition (monographs, survey articles) pertaining to functional analysis |
46B15 | Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces |
46B20 | Geometry and structure of normed linear spaces |