Your cart is empty.

46B07 Functional analysis -- Normed linear spaces and Banach spaces; Banach lattices -- Local theory of Banach spaces

46B15 Functional analysis -- Normed linear spaces and Banach spaces; Banach lattices -- Summability and bases

05D10 Combinatorics -- Extremal combinatorics -- Ramsey theory

03E15 Mathematical logic and foundations -- Set theory -- Descriptive set theory

54H05 General topology -- Connections with other structures, applications -- Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) En-ligne: Springerlink | Zentralblatt | MathSciNet

Location | Call Number | Status | Date Due |
---|---|---|---|

Salle R | 12207-01 / 46 DOD (Browse Shelf) | Available |

Bibliogr. p. 155-157. Index

This volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The novelty of the approach lies in the fact that the answers to a number of basic questions are based on techniques from Descriptive Set Theory. Although the book is oriented on proofs of several structural theorems, in the main text readers will also find a detailed exposition of numerous “intermediate” results which are interesting in their own right and have proven to be useful in other areas of Functional Analysis. Moreover, several well-known results in the geometry of Banach spaces are presented from a modern perspective. (Source : Springer)

There are no comments for this item.