Lectures on Functional Analysis and the Lebesgue Integral - Tapa blanda

Some papers of general interest.- Topological prerequisites.- Part 1 Functional analysis.- Hilbert spaces.- Banach spaces.- Locally convex spaces.- Part 2 The Lebesgue integral.- Monotone functions.- The Lebesgue integral in R.- Generalized Newton-Leibniz formula.- Integrals on measure spaces.- Part 3 Function spaces.- Spaces of continuous functions.- Spaces of integrable functions.- Almost everywhere convergence.- Hints and solutions to some exercises.- Bibliography.- Teaching remarks.- Subject index.- Name index.