We prove the following statements about bounded linear operators on a separable, complex Hilbert space: (1) Every normal operator $N$ that is similar to a Hilbert ...
Let ϱ(n) denote the number of positive regular integers (mod n) less than or equal to n and let ϱr(n) (r ≥ 1) be the multidimensional generalization of the arithmetic function ϱ(n). We study the ...
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