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) : Loewy,Raphael ; Schneider,Hans

Report Date : SEP 1973

Pagination or Media Count : 29

Abstract : MATICS RESEARCH CENTERPositive Operators on the n-Dimensional Ice-Cream Cone.Technical summary rept.,Loewy,Raphael ;Schneider,Hans ;MRC-TSR-1346DA-31-124-ARO(D)-462*Conical bodies, *Operators(Mathematics), Matrices(Mathematics), Vector spaces, Set theory, Theorems*Ice cream conesLet (K sub n) = (x epsilon (R sub n): ((x sub 1)squared + ... +(x sub (n-1))squared) to the 1/2 power = or < (x sub n) be the n-dimensional ice-cream cone, and let Gamma(K sub n) be the cone of all matrices in (R sup nn) mapping (K sub n) into itself. The authors determine the structure of Gamma(K sub n), and in particular characterize the extreme matrices in Gamma(K sub n). (Author)

Descriptors :   *CONICAL BODIES, *OPERATORS(MATHEMATICS), MATRICES(MATHEMATICS), VECTOR SPACES, SET THEORY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE