In this paper we have obtained a necessary and sufficient condition for generalized derivations to be algebraic on B(E). Further some results on algebraicness of elementary operators are given.
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PATTANAYAK, S., MOHAPATRA, C. K., & MISHRA, A. K. (1987). A NEW CLASS OF COMPOSITION OPERATORS. International Journal of Mathematics and Mathematical Sciences, 1987(), 473-482. https://doi.org/10.1155/S0161171287000553
Bachir, A., Lombarkia, F., & Segres, A. (2012). Norm for Sums of Two Basic Elementary Operators. International Journal of Mathematics and Mathematical Sciences, 2012(), 74-85-106. https://doi.org/10.1155/2012/643568