Accession Number : AD0895062

Title :   Notes on Measure Theory. Part I. Lattices and Lattice Functionals.

Descriptive Note : Technical rept.,

Corporate Author : TULANE UNIV NEW ORLEANS LA

Personal Author(s) : Pettis, B. J.

Report Date : 01 AUG 1951

Pagination or Media Count : 148

Abstract : These notes represent an introduction to measure theory from the viewpoint of lattices and lattice functionals. The viewpoint followed here is not at all new; it goes back at least as far as a paper by Caratheodory in 1938, and was advanced considerably in the original (1940) edition of Garrett Birkhoff's Lattice Theory. The material is simply an abstraction of that part of point set theory usually described as measure theory.

Descriptors :   *FUNCTIONAL ANALYSIS), (*MEASURE THEORY, (*SET THEORY, TEXTBOOKS), OPERATORS(MATHEMATICS), ALGEBRA.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE