(m, n)-Jordan Derivations
FILOMAT, vol.28, no.9, pp.1881-1883, 2014 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 28 Issue: 9
- Publication Date: 2014
- Doi Number: 10.2298/fil1409881m
- Journal Name: FILOMAT
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1881-1883
- Keywords: Commutative subspace lattice, Jordan derivations, (m,n)-Jordan derivations, CSL algebra
- Open Archive Collection: AVESIS Open Access Collection
- Dokuz Eylül University Affiliated: Yes
Abstract
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.