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Derivations into duals of ideals of Banach algebras

✍ Scribed by M. E. Gorgi; T. Yazdanpanah


Publisher
Indian Academy of Sciences
Year
2004
Tongue
English
Weight
99 KB
Volume
114
Category
Article
ISSN
0253-4142

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Let A be a prime algebra of characteristic not 2 with extended centroid C, let R be a noncentral Lie ideal of A and let B be the subalgebra of A generated by R. If f , d : R β†’ A are linear maps satisfying that f ([x, y]) = f (x)yf (y)x + xd(y)yd(x) for all x, y ∈ R, then there exist a generalized de