Subprojective Banach spaces

T. Oikhberg, E. Spinu

Research output: Contribution to journalArticlepeer-review


A Banach space X is called subprojective if any of its infinite dimensional subspaces contains a further infinite dimensional subspace complemented in X. This paper is devoted to systematic study of subprojectivity. We examine the stability of subprojectivity of Banach spaces under various operations, such as direct or twisted sums, tensor products, and forming spaces of operators. Along the way, we obtain new classes of subprojective spaces.

Original languageEnglish (US)
Pages (from-to)613-635
Number of pages23
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - Apr 1 2015


  • Banach space
  • Complemented subspace
  • Space of operators
  • Tensor product

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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