Publication:3665685
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zbMath0517.46001MaRDI QIDQ3665685
Publication date: 1980
Banach spacesHahn-Banach theoremselfadjoint operatorsapproximate solutionFatou theoremFredholm theorycompact setsadjoint operatorspectral theory of linear operatorscompletely continuous operatorsconjugate spacesabstract implicit function theoremnormally solvable operatorsLebesgue and Sobolev spacesmethod of the small parameterabstract approximation schemesfixed points of nonlinear operatorsFrechet and Gateaux differentialsmethod of parametric extensionmonotone coercive and demicontinuous operators
General theory of numerical analysis in abstract spaces (65J05) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fixed-point theorems (47H10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis (58-01) 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) Implicit function theorems; global Newton methods on manifolds (58C15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01)
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