Funktionalanalysis. (German) Zbl 0309.47001

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


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