Pettis integral and measure theory / Michel Talagrand.

Format:

Book

Author/Creator:

Talagrand, Michel, 1952- author.

Series:

Memoirs of the American Mathematical Society ; Volume 51, Number 307.

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

Language:

English

Subjects (All):

Pettis integral.

Measure theory.

Banach spaces.

Physical Description:

1 online resource (238 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1984.

Language Note:

English

Contents:

""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""

Notes:

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

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4704-0720-5