The iterated weak hilbert procedure

Martin Defant, Marius Junge

Research output: Contribution to journalArticlepeer-review


Applying Pisier’s concept of weak properties to weak Hilbert spaces we obtain the so-called weak weak Hilbert spaces. Our main result is that the classes of weak Hilbert spaces and of weak weak Hilbert spaces coincide. On the other hand we show that a generalization for operators does not hold.

Original languageEnglish (US)
Pages (from-to)645-651
Number of pages7
JournalProceedings of the American Mathematical Society
Issue number3
StatePublished - Mar 1993
Externally publishedYes


  • Weak Hilbert spaces
  • Weak weak Hilbert spaces

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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