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A generator for a semigroup of nonlinear transformations

A generator for a semigroup of nonlinear transformations

Let 5 be a finite-dimensional Hilbert space and T a function from [0, oo ) to the set of continuous transformations from S to S satisfying Condition (1) F(0) =7, and T(x)T(y) = T(x+y) if x, y^O, Condition (2) if p is in 5 and gv(x) = T(x)p for all …