SPECTRALLY BOUNDED JORDAN DERIVATIONS ON BANACH ALGEBRAS

Every spectrally bonded Jordan derivation on a unital Banach algebra maps into its Jacobson radical.

Complete normed algebras F. F. Bonsall;J. Duncan
Proc. Amer. Math. Soc. v.104 Jordan derivations on semiprime rings M. Bresar
J. Func. Anal. v.133 Derivations Mapping into the Radical Ⅲ M. Bresar;M. Mathieu
Where to find the image of a derivation v.30 M. Mathieu
Proc. Amer. Math. Soc. v.24 Jordan homomorphisms and Derivations on semisimple Banach algebras A. M. Sinclair
Math. Ann. v.129 Derivations an commutative normed algebras I. M. Singer;J. Wermer
Ann. of Math. v.128 The image of a derivation is contained in the radical M. Thomas
Pacific J. Math. v.159 Primitive ideals and derivations on non-commutative Banach algebras M. Thomas