[1] J. Alaminos, M. Brešar, J. Extremera and A. R. Villena, Characterizing homomorphisms and derivations on C ∗-algebras. Proc. R. Soc. Edinb A, 137: 1–7, 2007.
[2] J. Alaminos, M. Brešar, J. Extremera and A. R. Villena, Maps preserving zero products. Studia Math, 193: 131–159, 2009.
[3] A. Barari, B. Fadaee and H. Ghahramani, Linear maps on standard operator algebras characterized by action on zero products. Bull. Iran. Math. Soc., 45: 1573–1583, 2019.
[4] M. Brešar, Characterizing homomorphisms, multipliers and derivations in rings with idempotents. Proc. R. Soc. Edinb. Sect., A. 137: 9–21, 2007.
[5] M. Brešar, M. Grašič, and J.S. Ortega, Zero product determined matrix algebras. Linear Algebra Appl., 430: 1486–1498, 2009.
[6] M. Brešar, Multiplication algebra and maps determined by zero products. Linear and Multilinear Algebra, 60: 763–768, 2012.
[7] M. Burgos, J. S. Ortega, On mappings preserving zero products. Linear and Multilinear Algebra, 61: 323–335, 2013.
[8] B. Fadaee and H. Ghahramani, Jordan left derivations at the idempotent elements on reflexive algebras. Publ. Math. Debrecen, 92/3-4 : 261–275, 2018.
[9] B. Fadaee and H. Ghahramani, Linear maps on C ∗ -algebras behaving like (Anti-)derivations at orthogonal elements. Bull. Malays. Math. Sci. Soc, 43 : 2851–2859, 2020.
[10] B. Fadaee, K. Fallahi and H. Ghahramani, Characterization of linear mappings on (Banach)⋆-algebras by similar properties to derivations. Math. Slovaca, 70(4) : 1003–1011, 2020.
[11] A. Fošner and H. Ghahramani, Ternary derivations of nest algebras. Operator and Matrices, 15 : 327–339, 2021.
[12] H. Ghahramani, Zero product determined some nest algebras. Linear Algebra Appl, 438 : 303–314, 2013.
[13] H. Ghahramani, Zero product determined triangular algebras. Linear and Multilinear Algebra, 61: 741–757, 2013.
[14] H. Ghahramani, On rings determined by zero products. J. Algebra and appl., 12: 1–15, 2013.
[15] H. Ghahramani, On derivations and Jordan derivations through zero products. Operator and Matrices, 4: 759–771, 2014.
[16] H. Ghahramani, On centralizers of Banach algebras. Bull. Malays. Math. Sci. Soc., 38: 155–164, 2015.
[17] H. Ghahramani, Characterizing Jordan maps on triangular rings through commutative zero products. Mediterr. J. Math., 15(38): 1–10, 2018.
[18] H. Ghahramani, Linear maps on group algebras determined by the action of the derivations or antiderivations on a set of orthogonal elements. Results in Mathematics, 73 : 132–146, 2018.
[19] H. Ghahramani and Z. Pan, Linear maps on ⋆-algebras acting on orthogonal elements like derivations or anti-derivations. Filomat, 32 (13): 4543–4554, 2018.
[20] J. C. Hou and X. L. Zhang, Ring isomorphisms and linear or additive maps preserving zero products on nest algebras. Linear Algebra Appl., 387: 343–360, 2004.
[21] L. W. Marcoux, Projections, commutators and Lie ideals in C∗–algebras. Math. Proc. R. Ir. Acad.,110A: 31–55, 2010.
[22] C. Pearcy and D. Topping, Sum of small numbers of idempotent. Michigan Math. J., 14: 453–465, 1967.
[23] J. Vukman, I. Kosi-Ulbl, Centralizers on rings and algebras. Bull. Aust. Math. Soc., 71: 225–239, 2005.
Mathematical Analysis and Convex Optimization
