In this paper, we fix N -many l2-Hilbert spaces Hk whose dimensions are [formula] for k=1,…, N, for N ∈N\{1}. And then, construct a Hilbert space ℑ = ℑ [H1 , . . . , HN] induced by H1 , . . . , HN, and study certain types of operators on ℑ. In particular, we are interested in so-called jump-shift operators. The main results (i) characterize the spectral properties of these operators, and (ii) show how such operators affect the semicircular law induced by [formula], where Bk are the orthonormal bases of Hk , for k = 1, . . . , N.
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.