|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNISA996466484003316 |
|
|
Autore |
Dodos Pandelis |
|
|
Titolo |
Banach Spaces and Descriptive Set Theory: Selected Topics [[electronic resource] /] / by Pandelis Dodos |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 2010.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (XII, 168 p.) |
|
|
|
|
|
|
Collana |
|
Lecture Notes in Mathematics, , 0075-8434 ; ; 1993 |
|
|
|
|
|
|
Classificazione |
|
46B0346B1546B0746B7046M4003E1503E7505D10 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Discrete mathematics |
Functional analysis |
Mathematical logic |
Combinatorics |
Discrete Mathematics |
Functional Analysis |
Mathematical Logic and Foundations |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Bibliographic Level Mode of Issuance: Monograph |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references (p. 155-157) and index. |
|
|
|
|
|
|
Nota di contenuto |
|
Basic Concepts -- The Standard Borel Space of All Separable Banach Spaces -- The ?2 Baire Sum -- Amalgamated Spaces -- Zippin’s Embedding Theorem -- The Bourgain–Pisier Construction -- Strongly Bounded Classes of Banach Spaces. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
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. |
|
|
|
|
|
|
|