Introduction to infinite dimensional linear spaces and their occurrence in applications; metric and Banach spaces: bounded operators; Volterra integral equation; introduction to the Lebesgue integral; Hilbert space, self-adjoint, unitary, compact and projection operators, spectral decomposition of self-adjoint operators; Fredholm integral equations; mathematical foundations of Quantum Mechanics. Antirequisite(s): Mathematics 4154A/B. Prerequisite(s): Corequisite(s): Pre-or Corequisite(s): Extra Information: 3 lecture hours, 0.5 course. back to top
