Explore a comprehensive mini-course on operators in function spaces, focusing on the Volterra operator. Delve into its properties, including boundedness, compactness, spectrum, and numerical range. Examine the operator's commutant, invariant subspaces, and complex symmetry. Investigate the matrix representation, Hardy's inequality, and the Cesaro matrix. Learn about the adjoint formula, eigenvalues, and spectrum of the Cesaro operator. Discover its subnormal nature and potential generalizations. Gain valuable insights from William Ross of the University of Richmond in this 54-minute lecture, part of the Fields Institute's Focus Program on Analytic Function Spaces and their Applications.