The Numerical Range for z1V+a2V*
Abstract: Let V denote the classical Volterra operator on L^2 [0, 1] and let z_1, z_2 be an arbitrary complex numbers. We investigated the numerical range and the numerical radius of z_1V+z_2V^{*}. In particular, we calculated the numerical range and numerical radius of V without using the known results.
Keywords: Volterra operator, numerical range, numerical radius
How to Cite?: D. Tsedenbayar, L. Khadkhuu, "The Numerical Range for z1V+a2V*", Volume 7 Issue 7, July 2018, International Journal of Science and Research (IJSR), Pages: 728-730, https://www.ijsr.net/getabstract.php?paperid=ART201920, DOI: https://dx.doi.org/10.21275/ART201920