Vanishing at infinity on homogeneous spaces of reductive type

Bernhard Krötz, Eitan Sayag, Henrik Schlichtkrull

Research output: Contribution to journalArticlepeer-review


Let be a real reductive group and a unimodular homogeneous space. The space is said to satisfy VAI (vanishing at infinity) if all smooth vectors in the Banach representations vanish at infinity, <![CDATA[$1\leqslant p. For connected we show that satisfies VAI if and only if it is of reductive type.

Original languageEnglish
Pages (from-to)1385-1397
Number of pages13
JournalCompositio Mathematica
Issue number7
StatePublished - 1 Jul 2016


  • homogeneous space
  • representation
  • smooth vector

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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