Abstract
The purpose of this work is to describe all pairs of linear operators that act in spaces of analytic functions in domains and satisfy the Rubel’s type operator equations. We describe all generalized derivation pairs of linear operators on the space of functions analytic in domains. Using this result we describe all pairs of linear operators that act in the spaces of functions analytic in domains and satisfying the operator analog of Kannappan–Nandakumar’s equation.
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Linchuk, Y.S. On Rubel type operator equations on the space of analytic functions. Rend. Circ. Mat. Palermo, II. Ser 66, 383–389 (2017). https://doi.org/10.1007/s12215-016-0263-9
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DOI: https://doi.org/10.1007/s12215-016-0263-9