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):

Report Date:

1967-08-01

Pagination or Media Count:

14.0

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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE