Volterra Adventures

Download or read book Volterra Adventures written by Joel H. Shapiro and published by American Mathematical Soc.. This book was released on 2018-06-14 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques—all in the pursuit of two celebrated results: the Titchmarsh Convolution Theorem and the Volterra Invariant Subspace Theorem. Exercises throughout the text enhance the material and facilitate interactive study.