应用泛函分析

Learn the fundamental concepts and advanced topics of functional analysis through this comprehensive Chinese language course covering real variable theory, space theory, and linear operators. Master key mathematical concepts including Lebesgue measure and integration, linear spaces, metric spaces, normed linear spaces, inner product spaces, Banach fixed-point theorem, bounded linear operators, dual spaces, operator spectra, compact operators, and self-adjoint operators with their applications and extensions.