Functional analysis

DOI10.1007/978-3-662-55407-4zbMath1395.46001OpenAlexW4234126916MaRDI QIDQ5915775

Dirk Werner

Publication date: 4 December 2017

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

Full work available at URL: https://doi.org/10.1007/978-3-662-55407-4

zbMATH Keywords

Banach spacesSobolev spacesdistributionsintegral equationsHilbert spacesfixed point theoremsspectral theoryBanach algebrasfunctional analysislinear operatorsintroductionFourier transformationoperator theory

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) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) 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) Derivatives of functions in infinite-dimensional spaces (46G05) 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)

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