SPECTRAL PROPERTIES OF COLLECTIVELY COMPACT SETS OF LINEAR OPERATORS.

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)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1967
Accession Number
AD0662731

Entities

People

  • P. M. Anselone
  • T. W. Palmer

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space

Fields of Study

  • Mathematics

Readers

  • Linear Algebra

Technology Areas

  • Space