Variation in the sense of Waterman;
composition operator;
regularization;
uniformly bounded operator;
Jensen equation;
Primary 47B33;
Secondary 26B30;
D O I:
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摘要:
In this paper, we demonstrate under some general assumptions, that a generator of any uniformly bounded composition operator, mapping spaces of bounded variation (Waterman) functions into other spaces of this type, must be an affine function in the functional variable.