Download or read book Fractional Powers of Linear Operators in Locally Convex Vector Spaces written by Jan Meichsner and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work is dedicated to the study of non-negative operators in locally convex spaces. At the beginning basic properties of this class of operators are investigated and afterwards a functional calculus is constructed. With its help, fractional powers, an important class of functions contained in the calculus, are investigated. At the end the theory is applied to the Caffarelli-Silvestre problem.