Uniform factorization for compact sets of operators

R. Aron*, M. Lindström, W. M. Ruess, R. Ryan

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)


We prove a factorization result for relatively compact subsets of compact operators using the Bartle and Graves Selection Theorem, a characterization of relatively compact subsets of tensor products due to Grothendieck, and results of Figiel and Johnson on factorization of compact operators. A further proof, essentially based on the Banach-Dieudonné Theorem, is included. Our methods enable us to give an easier proof of a result of W.H. Graves and W.M. Ruess.

Original languageEnglish
Pages (from-to)1119-1125
Number of pages7
JournalProceedings of the American Mathematical Society
Issue number4
Publication statusPublished - 1999
MoE publication typeA1 Journal article-refereed


  • Banach spaces
  • Banach-Dieudonné
  • Compact factorization
  • Michael's selection theorem
  • Tensor products
  • Theorem


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