Accession Number:

AD0678960

Title:

ON SETS OF POSITIVE LINEAR OPERATORS IN TOPOLOGICAL VECTOR SPACES.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Ritter,K.

Report Date:

1967-09-01

Pagination or Media Count:

35.0

Abstract:

Let K sub x and K sub y be convex cones in the topological linear spaces X and Y, respectively. A continuous linear operator A mapping X into Y is called positive if the image of K sub x under A is a subset of K sub y. Properties of the maximal set of positive linear operators are investigated. Author

Descriptors:

• (*FUNCTIONAL ANALYSIS
• *OPERATORS(MATHEMATICS))
• VECTOR SPACES
• CONVEX SETS
• MAPPING(TRANSFORMATIONS)
• TOPOLOGY
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE