On the theory of vector measures / William H. Graves.

Format:

Book

Author/Creator:

Graves, William H. (William Howard), 1940-2016, author.

Series:

Memoirs of the American Mathematical Society ; no. 195.

Memoirs of the American Mathematical Society ; number 195

Language:

English

Subjects (All):

Measure theory.

Duality theory (Mathematics).

Vector-valued measures.

Physical Description:

1 online resource (82 p.)

Edition:

1st ed.

Place of Publication:

Providence : American Mathematical Society, [1977]

Language Note:

English

Contents:

Intro

Table of Contents

0. Background

1. Notation, Definitions, and Introduction

2. Boundedness in S[sup(&amp

#953)

](R)

3. β(S[sup(T)](R)*,S(R)) Is the Topology of the Variation Norm

4. Uniform Strong Boundedness and ι Equicontinuity

5. Buck's (l[sup(∞)],β) as an Example of S[sup(ι)](R)

6. An Extension Theorem

7. Every σ ideal Determines a Decomposition of sca(R,W)

8. S[sup(ι)](R) as a Projective Limit

9. S[sup(ι)](R/μ) and the Radon Nikodym Theorem

10. Semi reflexivity of S[sup(ι)](R) and the Range of a Vector Measure

11. σ(S[sup(ι)]*,(R) ,S[sup(ι)](R))-compactness, the Bartle-Dunford Schwartz Theorem, and Orlicz Pettis Type Theorems

12. Applications to Measure Theory for (Abstract) Boolean Algebras

References.

Notes:

"Volume 12, issue 2."

Bibliography: pages 71-72.

Description based on print version record.

ISBN:

1-4704-0156-8