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References
B.Aupetit, Propriétés Spectrales des Algèbres de Banach. LNM735, Berlin-Heidelberg-New York 1979.
F. F.Bonsall and J.Duncan, Complete normed algebras. Berlin-Heidelberg-New York 1973.
M. Brešar, Derivations decreasing the spectral radius. Arch. Math.61, 160–162 (1993).
M. Brešar andJ. Vukman, On left derivations and related mappings. Proc. Amer. Math. Soc.110, 7–16 (1990).
M. Brešar andJ. Vukman, Derivations of noncommutative Banach algebras. Arch. Math.59, 363–370 (1992).
C. Lanski, An Engel condition with derivation. Proc. Amer. Math. Soc.118, 731–734 (1993).
M.Mathieu, On the range of centralizing derivations. Preprint.
M. Mathieu andG. Murphy, Derivations mapping into the radical. Arch. Math.57, 469–474 (1991).
M. Mathieu andV. Runde, Derivations mapping into the radical II. Bull. London Math. Soc.24, 485–487 (1992).
V. Pták, Commutators in Banach algebras. Proc. Edinburgh Math. Soc.22, 207–211 (1979).
V. Runde, Range inclusion results for derivations on non-commutative Banach algebras. Studia Math.105, 159–172 (1993).
A. M. Sinclair, Continuous derivations on Banach algebras. Proc. Amer. Math. Soc.20, 166–170 (1969).
Y. V. Turovskii andV. S. Shulman, Conditions for massiveness of the range of the derivation of a Banach algebra and associated differential operators. Math. Notes42, 669–674 (1987).
J. Vukman, Commuting and centralizing mappings in prime rings. Proc. Amer. Math. Soc.109, 47–52 (1990).
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Brešar, M. Derivations of noncommutative Banach algebras II. Arch. Math 63, 56–59 (1994). https://doi.org/10.1007/BF01196299
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DOI: https://doi.org/10.1007/BF01196299