Functional analysis

Source: Wikipedia. Pages: 183. Chapters: Dual space, Linear subspace, Gram-Schmidt process, Baire category theorem, Convolution, Distribution, Associativity, Monotonic function, Hahn-Banach theorem, Riesz representation theorem, Operator, Density matrix, Bounded set, Perturbation theory, Singular value decomposition, Uniform boundedness principle, Plancherel theorem for spherical functions, Zonal spherical function, Hölder's inequality, Kakutani fixed point theorem, Generalizations of the derivative, Bounded mean oscillation, System of imprimitivity, Projection, Direct integral, Functional determinant, C0-semigroup, Commutativity, Discontinuous linear map, Mollifier, Vector measure, Extensions of symmetric operators, Linear functional, Invariant subspace problem, Sequence space, Gelfand representation, Spectral theory of compact operators, Polarization identity, Gelfand-Naimark-Segal construction, Hölder condition, Min-max theorem, Unit sphere, Tensor product of Hilbert spaces, Mercer's theorem, Volterra series, Orthonormality, Legendre wavelet, List of operators, Marcinkiewicz interpolation theorem, Discretization, Orthonormal basis, Beta wavelet, Partial trace, Energetic space, Circular convolution, Pseudo-differential operator, Banach-Alaoglu theorem, Quotient space, Open mapping theorem, Peetre theorem, Wold decomposition, Wavelet transform, Hamburger moment problem, Baire space, Convolution power, Continuous functions on a compact Hausdorff space, Sesquilinear form, List of Banach spaces, Geometric quantization, Weight function, Lumer-Phillips theorem, Stone's theorem on one-parameter unitary groups, Functional integration, Asplund space, Ordered vector space, Dvoretzky's theorem, Kantorovich theorem, List of functional analysis topics, Weak derivative, Approximation property, Gårding's inequality, Hille-Yosida theorem, Minkowski functional, Gelfand-Naimark theorem, Kernel, Eigenfunction, Lions-Lax-Milgram theorem, Complementarity theory, Symmetric convolution, Positive element, Choquet theory, Riesz's lemma, Bochner space, Wirtinger's representation and projection theorem, Hypercyclic operator, Free probability, Weierstrass M-test, Parseval's identity, Hyers-Ulam-Rassias stability, Choquet integral, Closed graph theorem, Banach-Mazur compactum, Trigonometric moment problem, Continuously embedded, Continuous linear extension, Riesz space, Orthogonal complement, High-dimensional statistics, Operator algebra, Free convolution, Spectrum continuation analysis, Bochner's theorem, Analytic semigroup, Free independence, Constructive quantum field theory, State, Bounded deformation, Dual pair, Distortion problem, Cauchy-Rassias stability, Coercive function, Banach-Mazur theorem, M. Riesz extension theorem, Grothendieck inequality, Functional square root, Lyapunov vector, Ekeland's variational principle, CCR and CAR algebras, Colombeau algebra, Schauder fixed point theorem, Free Poisson distribution, Weakly measurable function, Measure of non-compactness, Supporting hyperplane, Uniform norm, F-space, Composition operator, Wiener series, Radon-Riesz property, Compact convergence, Kuratowski embedding, Compactly embedded, Orthogonal functions, Banach limit, Bochner measurable function, Hellinger-Toeplitz theorem, Analytic Fredholm theorem, Neumann series, Fixed point theorems in infinite-dimensional spaces, Ryll-Nardzewski fixed point theorem, Antiunitary operator, Infinite-dimensional optimization, Shannon wavelet, Multiplication operator, U...