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Funktionalanalysis. (German) Zbl 0309.47001
Mathematische Leitfäden. Stuttgart: B. G. Teubner. 416 S. mit 6 Abb., 462 Aufg., 50 Beisp. DM 58.00 (1975).

MSC:
 47-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory 46-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis 47-02 Research exposition (monographs, survey articles) pertaining to operator theory 47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.) 47A10 Spectrum, resolvent 47A25 Spectral sets of linear operators 47A50 Equations and inequalities involving linear operators, with vector unknowns 47A55 Perturbation theory of linear operators 47A60 Functional calculus for linear operators 47B06 Riesz operators; eigenvalue distributions; approximation numbers, $$s$$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators 47B15 Hermitian and normal operators (spectral measures, functional calculus, etc.) 47B20 Subnormal operators, hyponormal operators, etc. 47A53 (Semi-) Fredholm operators; index theories 47C05 Linear operators in algebras 47Gxx Integral, integro-differential, and pseudodifferential operators 47H10 Fixed-point theorems 46A03 General theory of locally convex spaces 46A08 Barrelled spaces, bornological spaces 46A20 Duality theory for topological vector spaces 46A30 Open mapping and closed graph theorems; completeness (including $$B$$-, $$B_r$$-completeness) 46B10 Duality and reflexivity in normed linear and Banach spaces 46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) 46H05 General theory of topological algebras 46L05 General theory of $$C^*$$-algebras 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) 34L99 Ordinary differential operators 46Axx Topological linear spaces and related structures 47Axx General theory of linear operators 46Bxx Normed linear spaces and Banach spaces; Banach lattices 47Bxx Special classes of linear operators 46Cxx Inner product spaces and their generalizations, Hilbert spaces