Download or read book Approximation and Entropy Numbers of Volterra Operators with Application to Brownian Motion written by Mikhail Anatolʹevich Lifshit︠s︡ and published by American Mathematical Soc.. This book was released on 2002 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text considers a specific Volterra integral operator and investigates its degree of compactness in terms of properties of certain kernel functions. In particular, under certain optimal integrability conditions the entropy numbers $e_n(T_{\rho, \psi})$ satisfy $c_1\norm{\rho\psi}_r0$.