Accession Number:

AD0770706

Title:

Positive Operators on the n-Dimensional Ice-Cream Cone.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1973-09-01

Pagination or Media Count:

29.0

Abstract:

MATICS RESEARCH CENTERPositive Operators on the n-Dimensional Ice-Cream Cone.Technical summary rept.,Loewy,Raphael Schneider,Hans MRC-TSR-1346DA-31-124-AROD-462Conical bodies, OperatorsMathematics, MatricesMathematics, Vector spaces, Set theory, TheoremsIce cream conesLet K sub n x epsilon R sub n x sub 1squared ... x sub n-1squared to the 12 power or x sub n be the n-dimensional ice-cream cone, and let GammaK sub n be the cone of all matrices in R sup nn mapping K sub n into itself. The authors determine the structure of GammaK sub n, and in particular characterize the extreme matrices in GammaK sub n. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE