PERTURBATIONS OF NONASSOCIATIVE BANACH ALGEBRAS


Dosi A.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.39, ss.509-526, 2009 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 39 Konu: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1216/rmj-2009-39-2-509
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Sayfa Sayısı: ss.509-526

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.