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On complements of Kazhdan projections in semisimple groups

Volume 246 / 2019

Piotr W. Nowak, Eric Reckwerdt Studia Mathematica 246 (2019), 63-69 MSC: Primary 22D12; Secondary 43A65, 47A46. DOI: 10.4064/sm171126-18-7 Published online: 7 September 2018

Abstract

We prove that for an isometric representation of some groups on certain Banach spaces, the complement of the subspace of invariant vectors is 1-complemented.

Authors

  • Piotr W. NowakInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-656 Warszawa, Poland
    e-mail
  • Eric ReckwerdtInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-656 Warszawa, Poland
    e-mail

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