The zero interval limit spectrum of a truncated fluctuation matrix on a univariate function type multiplicative algebraic operator over the relevant Hilbert space
İrem Yaman, Metin Demіralp · 2007
Abstract: This paper focuses on the spectral behavior of the fluctuation matrices as their construction interval varies. The fluctuation matrix definition’s base operator in this work is taken an algebraic one which multiplies its operand with a univariate function remaining continous over an interval where the elements of the base Hilbert space are square integrable univariate functions. We work in the vicinity of the interval’s zero limit case and obtain universal results for certain spectral properties of these types of fluctuation matrices.