(m, n)-Jordan Derivations

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Majeed A., Ozel C.

FILOMAT, cilt.28, sa.9, ss.1881-1883, 2014 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 9
  • Basım Tarihi: 2014
  • Doi Numarası: 10.2298/fil1409881m
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1881-1883
  • Anahtar Kelimeler: Commutative subspace lattice, Jordan derivations, (m,n)-Jordan derivations, CSL algebra
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

A subspace lattice L on H is called commutative subspace lattice if all projections in L commute pairwise. It is denoted by CSL. If L is a CSL, then algL is called a CSL algebra. Under the assumption m + n not equal 0 where m; n are fixed integers, if delta is a mapping from L into itself satisfying the condition (m + n)delta(A(2)) = 2m delta(A)A + 2nA delta(A) for all A is an element of A, we call delta an (m, n) Jordan derivation. We show that if delta is a norm continuous linear (m, n) mapping from A into it self then delta is a (m, n)-Jordan derivation.