1.

Record Nr.

UNINA9910817128503321

Autore

Talagrand Michel <1952->

Titolo

Pettis integral and measure theory / / Michel Talagrand

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 1984

©1984

ISBN

1-4704-0720-5

Descrizione fisica

1 online resource (238 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 51, Number 307

Disciplina

515/.63

Soggetti

Pettis integral

Measure theory

Banach spaces

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"September 1984, Volume 51, Number 307 (first of 4 numbers)."

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

""Table of Contents""; ""Introduction""; ""Chapter 1 � Measure theory prerequisites""; ""Chapter 2 � Measurability in a Banach space""; ""Chapter 3 � Scalarly measurable functions""; ""Chapter 4 � The Dunford and Pettis integrals""; ""Chapter 5 � Criteria for Pettis integrability""; ""Chapter 6 � Properly measurable functions""; ""Chapter 7 � The weak RNP and related properties""; ""Chapter 8 � Fremlin's subsequence theorem""; ""Chapter 9 � Basic lemma""; ""Chapter 10 � Joint measurability""; ""Chapter 11 � Convex hull and conditional expectation""

""Chapter 12 � On a problem of A. Bellow""""Chapter 13 � Filters and extension of measure""; ""Chapter 14 � Pointwise compact functions of Baire measurable functions""; ""Chapter 15 � Translations in groups""; ""Chapter 16 � Further topics on measurability in a Banach space""; ""Comments""; ""Subject index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Z""; ""References""