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Research Paper | Mathematics | Mongolia | Volume 7 Issue 7, July 2018 | Popularity: 6.6 / 10
The Numerical Range for z1V+a2V*
D. Tsedenbayar, L. Khadkhuu
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
Edition: Volume 7 Issue 7, July 2018
Pages: 728 - 730
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D. Tsedenbayar, L. Khadkhuu, "The Numerical Range for z1V+a2V*", International Journal of Science and Research (IJSR), Volume 7 Issue 7, July 2018, pp. 728-730, https://www.ijsr.net/getabstract.php?paperid=ART201920, DOI: https://www.doi.org/10.21275/ART201920