We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Maps preserving zero triple Jordan products on the space of symmetric operators.
- Authors
LIU Xing-xing
- Abstract
Let ℋ be an infinite-dimensional complex Hilbert space and ε= { eλ I,λ ∈ Λ} be an orthogonal basis of ℋ. Let ℐy (ℋ) be the algebra of all symmetric operators on ℋ with respect to £. In this paper, the additive maps on ℐy (ℋ) which preserving zero triple Jordan products in both directions are studied. It is shown that an additive surjection φ on ℐy (ℋ) preserving zero triple Jordan products in both directions if and only if there exist a nonzero scalar c and a bounded linear or bounded conjugate linear invertible operator A satisfying AAT=I such that φ(T)=cATAT for all T ∈ ℐy (ℋ).
- Subjects
HILBERT space; SYMMETRIC functions; ANALYTIC spaces; RANDOM walks; MATHEMATICAL bounds; LINEAR operators
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2013, Vol 26, Issue 1, p79
- ISSN
1006-8341
- Publication type
Article