PERTURBATIONS OF NONASSOCIATIVE BANACH ALGEBRAS

Dosi A.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.39, sa.2, ss.509-526, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1216/rmj-2009-39-2-509
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.509-526
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

In this note we prove that if either 21 is a Banach-Jordan algebra or a Banach-Lie algebra then all perturbations of the multiplication in 21 give algebras topologically isomorphic with 21 whenever certain small-dimension cohomology groups associated with 21 are vanishing.