Accession Number : AD0662731

Title :   SPECTRAL PROPERTIES OF COLLECTIVELY COMPACT SETS OF LINEAR OPERATORS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Anselone,P. M. ; Palmer,T. W.

Report Date : AUG 1967

Pagination or Media Count : 14

Abstract : A number of spectral properties of individual compact linear operators are generalized to collectively compact sets of linear operators. These results are used to prove that a set of normal operators on a complex uniformly smooth Banach space is collectively compact iff it is a totally bounded set of compact operators. (Author)

Descriptors :   (*OPERATORS(MATHEMATICS), THEOREMS), (*FUNCTIONAL ANALYSIS, THEOREMS), BANACH SPACE, SEQUENCES(MATHEMATICS), CONVERGENCE, HILBERT SPACE

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE