A Note About Numerical Range of Some Volterra Polynomials

期刊论文
发表日期：

2024年3月1日

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Wurenqiqige,
Dashdondog Tsedenbayar,
Lkhamjav Khadkhuu

摘要

Let V be the classical Volterra operator, and let S be the operator of multiplication by an exponential function on L²(0, 1). We introduce the numerical range technique for the operators S^-1V S and (I+V)⁻¹ on L²(0, 1). We present the operator norm, numerical range, numerical radius, and accretive properties of the real and imaginary parts for such polynomials.