Derivations on FCIN Algebras

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Majeed A., Ozel C.

FILOMAT, vol.31, no.6, pp.1769-1771, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 6
  • Publication Date: 2017
  • Doi Number: 10.2298/fil1706769m
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1769-1771
  • Keywords: Derivations, commutative subspace lattices, FCIN algebras, ultra-weakly closed subalgebras
  • Open Archive Collection: AVESIS Open Access Collection
  • Dokuz Eylül University Affiliated: Yes

Abstract

Let L be an algebra generated by the commuting independent nests, M is an ultra-weakly closed subalgebra of B(H) which contains alg L and phi is a norm continuous linear mapping from alg L into M. In this paper we will show that a norm continuous linear derivable mapping at zero point from Al 1 L to M is a derivation.