Some conditions under which derivations are zero on Banach *-algebras

[1] M. Brešar, Characterizations of derivations on some normed algebras with involution, J. Algebra, 152 (1992), 454–462.10.1016/0021-8693(92)90043-LSearch in Google Scholar

[2] H. G. Dales, Banach Algebras and Automatic Continuity, London Math. Soc. Monographs, New Series, 24, Oxford University Press, New York, 2000.Search in Google Scholar

[3] A. Hosseini, M. Hassani, A. Niknam, On the Range of a Derivation, Iran. J. Sci. Technol. Trans. A Sci.38 (2014), 111–115.Search in Google Scholar

[4] G. H. Kim, A result concerning derivations in noncommutative Banach algebras, Sci. Math. Jpn., 4 (2001), 193–196.Search in Google Scholar

[5] I. Kaplansky, Projections in Banach Algebras, Ann. of Math., 53 (2) (1951), 235–249.10.2307/1969540Search in Google Scholar

[6] M. Mathieu, Where to find the image of a derivation, Banach Center Publ., 30 (1994), 237–249.10.4064/-30-1-237-249Search in Google Scholar

[7] M. Mirzavaziri, Characterization of higher derivations on algebras, Comm. Algebra, 38 (3) (2010), 981–987.10.1080/00927870902828751Search in Google Scholar

[8] E. C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc., 8 (1957), 1093–1100.10.1090/S0002-9939-1957-0095863-0Search in Google Scholar

[9] N. Shahzad, Jordan and Left Derivations on Locally C*-algebras, South-east Asian Bull. Math., 31 (2007), 1183–1190.Search in Google Scholar

[10] K. Saitô, J. D. Maitland Wright, On Defining AW*-algebras and rickart C*-algebras, arXiv: 1501.02434v1 [math. OA] 11 Jan 2015.Search in Google Scholar

[11] I. M. Singer, J. Wermer, Derivations on commutative normed algebras, Math. Ann., 129 (1955), 260–264.10.1007/BF01362370Search in Google Scholar

[12] J. Vukman, On derivations in prime rings and Banach algebras, Proc. Amer. Math. Soc., 116 (1992), 877–884.10.1090/S0002-9939-1992-1072093-8Search in Google Scholar