ADDITIVE MAPS PRESERVING STRONGLY GENERALIZED INVERSES

作者：Boudi Nadia^*; Mbekhta Mostafa

来源：Journal of Operator Theory, 2010, 64(1): 117-130.

• Generalized inverses
• Jordan homomorphism
• linear preserver problems

Let A, B be unital complex Banach algebras. An additive map phi from A to B is said to preserve strongly generalized inverses if phi(a) is a generalized inverse of phi(b) whenever a is a generalized inverse of b. In this paper, we characterize additive maps preserving strongly generalized inverses.

• 出版日期2010