Functional analysis

zbMath0887.46001MaRDI QIDQ5906814

Dirk Werner

Publication date: 21 October 1997

Published in: Springer-Lehrbuch (Search for Journal in Brave)

zbMATH Keywords

Hahn-Banach theoremHilbert spaceSchauder basisHardy spacesspectral theoryOrlicz spacesselfadjoint operatorslocally convex spacesBanach algebrasergodic theoremsMazur-Ulam theoremcompact operatorsnormed linear spacesJames spaceChoquet gameMarcinkiewicz interpolation theoremabsolute-2-summable operatorsAscoli formula for the distance between a point and a hyperplaneAtkinson's theoremcompactness of linear operatorsCourant's minimax principlefunctionals and operatorsLyapunov's moment inequalitymeasure and integral theorymetric and topological spacesmultiplications of Schwartz's distributionsRellich's theorem on perturbation of a selfadjoint operator

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Linear operators defined by compactness properties (47B07) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Locally convex Fréchet spaces and (DF)-spaces (46A04) Duality theory for topological vector spaces (46A20) Duality and reflexivity in normed linear and Banach spaces (46B10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) History of functional analysis (46-03) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01)

Related Items (7)

A ball separation property of bounded convex sets in Hilbert spaces ⋮ On compactness of commutator of multiplication and pseudodifferential operator ⋮ Global uniform asymptotic stability of a class of switched linear systems with an infinite number of subsystems ⋮ On Interpolation Approximation: Convergence Rates for Polynomial Interpolation for Functions of Limited Regularity ⋮ Tight frame expansions of multiscale reproducing kernels in Sobolev spaces ⋮ Large deviations and averaging for systems of slow-fast stochastic reaction-diffusion equations ⋮ Stabilization of the response of cyclically loaded lattice spring models with plasticity

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