AbstractLet A be a standard subalgebra of a nest algebra on a Hilbert space of dimension greater than one and B an arbitrary algebra. A Jordan elementary map of A×B is a pair (M,M*) where M:A→B and M∗:B→A are two maps satisfyingM(AM∗(B)A)=M(A)BM(A),M∗(BM(A)B)=M∗(B)AM∗(B)forA∈A, B∈B. In this note, it is proved that for a special class of surjective Jordan elementary maps of A×B, every member in it is automatically additive. Also, we construct a counterexample which shows that this result is not necessarily true for all surjective Jordan elementary maps
AbstractLet N be a nest on a Banach space X, and AlgN be the associated nest algebra. In this paper,...
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...
AbstractLet A be a standard subalgebra of a nest algebra on a Hilbert space of dimension greater tha...
AbstractLet A1, A2 be algebras and let M:A1→A2, M∗:A2→A1 be maps. An elementary map of A1×A2 is an o...
AbstractIn this paper, we prove that a bijective map φ from A, a standard subalgebra of a nest algeb...
AbstractLet T be a triangular algebra and R′ be an arbitrary ring. Suppose that M:T→R′ and M∗:R′→T a...
AbstractLet A1, A2 be algebras and let M:A1→A2, M∗:A2→A1 be maps. An elementary map of A1×A2 is an o...
AbstractLet A be a standard Jordan operator algebra on a Hilbert space of dimension >1 and B be an a...
AbstractLet AlgN and AlgM be nest algebras associated with the nests N and M on Banach Spaces. Assum...
AbstractLet AlgN be a nest algebra associated with the nest N on a (real or complex) Banach space X....
Let ℜ and ℜ՛ be alternative rings. We study the additivity of surjective Jordan triple elementary ma...
AbstractLet R be a 2-torsion free prime ring containing a non-trivial idempotent and R′ be an arbitr...
© 2019, Pleiades Publishing, Ltd. The problem of automatic additivity of Jordan type homomorphisms h...
© 2019, Pleiades Publishing, Ltd. The problem of automatic additivity of Jordan type homomorphisms h...
AbstractLet N be a nest on a Banach space X, and AlgN be the associated nest algebra. In this paper,...
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...
AbstractLet A be a standard subalgebra of a nest algebra on a Hilbert space of dimension greater tha...
AbstractLet A1, A2 be algebras and let M:A1→A2, M∗:A2→A1 be maps. An elementary map of A1×A2 is an o...
AbstractIn this paper, we prove that a bijective map φ from A, a standard subalgebra of a nest algeb...
AbstractLet T be a triangular algebra and R′ be an arbitrary ring. Suppose that M:T→R′ and M∗:R′→T a...
AbstractLet A1, A2 be algebras and let M:A1→A2, M∗:A2→A1 be maps. An elementary map of A1×A2 is an o...
AbstractLet A be a standard Jordan operator algebra on a Hilbert space of dimension >1 and B be an a...
AbstractLet AlgN and AlgM be nest algebras associated with the nests N and M on Banach Spaces. Assum...
AbstractLet AlgN be a nest algebra associated with the nest N on a (real or complex) Banach space X....
Let ℜ and ℜ՛ be alternative rings. We study the additivity of surjective Jordan triple elementary ma...
AbstractLet R be a 2-torsion free prime ring containing a non-trivial idempotent and R′ be an arbitr...
© 2019, Pleiades Publishing, Ltd. The problem of automatic additivity of Jordan type homomorphisms h...
© 2019, Pleiades Publishing, Ltd. The problem of automatic additivity of Jordan type homomorphisms h...
AbstractLet N be a nest on a Banach space X, and AlgN be the associated nest algebra. In this paper,...
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...
Let ℛ be a 2-torsion free prime ring containing a non-trivial idempotent and ℛ′ be an arbitrary ring...