Details

Autor(en) / Beteiligte

• Safarizadeh, M.
• Hejazian, S.

Titel

Maps preserving quadratic product between positive cones of JBW-algebras

Ist Teil von

• Linear & multilinear algebra, 2021-02, Vol.69 (3), p.471-488

Ort / Verlag

Abingdon: Taylor & Francis

Erscheinungsjahr

2021

Quelle

Taylor & Francis 数据库

Beschreibungen/Notizen

• Let be a JBW-algebra. For , let denote the quadratic operator defined by . We show that if has no abelian direct summand, then every bijection φ from the positive cone of onto the positive cone of a JBW-algebra satisfying for all positive elements extends to a Jordan isomorphism from onto .