Operator Ideals on Non-commutative Function Spaces

Timur Oikhberg, Eugeniu Spinu

Research output: Contribution to journalArticlepeer-review


Suppose X and Y are Banach spaces, and I, J are operator ideals. compact operators). Under what conditions does the inclusion I(X, Y) ⊂ J(X, Y), or the equality I(X, Y) = J(X, Y), hold? We examine this question when I, J are the ideals of Dunford-Pettis, strictly (co)singular, finitely strictly singular, inessential, or (weakly) compact operators, while X and Y are non-commutative function spaces. Since such spaces are ordered, we also address the same questions for positive parts of such ideals.

Original languageEnglish (US)
Pages (from-to)507-532
Number of pages26
JournalIntegral Equations and Operator Theory
Issue number4
StatePublished - Aug 2014


  • Non-commutative function and sequence spaces
  • operator ideals

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory


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