Applied functional analysis

摘要: The Projection Theorem. Theorems on Extension and Separation. Dual Spaces Transposed Operators. Banach Theorem the Banach-Steinhaus Construction of Hilbert Spaces. L ~ 2 Convolution Sobolev Functions One Variable. Some Approximation Procedures in Functions. Several Variables Fourier Transform. Introduction to Set-Valued Analysis Convex Analysis. Elementary Spectral Theory. Hilbert-Schmidt Operators Tensor Products. Boundary Value Problems. Differential-Operational Equations Semigroups Viability Kernels Capture Basins. First-Order Partial Differential Equations. Selection Results. Exercises. Bibliography. Index.