Inversion von Fredholmfunktionen bei stetiger und holomorpher Abhängigkeit von Parametern

DOI10.1007/BF01352647zbMath0326.47031OpenAlexW2053298121MaRDI QIDQ1225827

Bernhard Gramsch

Publication date: 1975

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162684

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Perturbation theory of linear operators (47A55) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (Semi-) Fredholm operators; index theories (47A53) Stein spaces (32E10) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Holomorphic maps on manifolds (58C10) Meromorphic functions of several complex variables (32A20) Tensor products in functional analysis (46M05) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Nonlinear operators and their properties (47H99)

Related Items (36)

Invertibility in Fréchet algebras ⋮ Multiplicative Decompositions of Holomorphic Fredholm Functions and ψ*-Algebras ⋮ Relative Inversion in der Störungstheorie von Operatoren und \(\Psi\)- Algebren. (Relative inversions in perturbation theory of operators and \(\Psi\)-algebras) ⋮ Crack problems in the edge pseudo-differential calculus ⋮ Fundamental systems for linear differential equations smoothly depending on a parameter ⋮ Analytic perturbation of semi-Fredholm operators ⋮ Lifting-Probleme für \(H^\infty\)-Funktionen ⋮ Decomposition of operator functions and the multiplication problem for small ideals ⋮ Selberg type zeta functions for the group of complex two by two matrices of determinant one ⋮ Über das Cauchy-Weil-Integral für Gebiete mit beliebigem Rand ⋮ Lifting-Probleme für Vektorfunktionen und Tensorprodukt-Sequenzen ⋮ Linear equations depending differentiably on a parameter ⋮ Generalized inverses of random linear operators in Banach spaces ⋮ Smoothness of generalized inverses ⋮ Smoothness of generalized inverses ⋮ Meromorphic generalized inverses of operator functions ⋮ Projektoren und relative Inversion holomorpher Semifredholmfunktionen ⋮ Relative inverses of meromorphic operator functions and associated projection functions ⋮ Holomorphe Störungstheorie in lokalkonvexen Räumen ⋮ Fredholm-valued holomorphic mappings on a Banach space ⋮ Approximationseigenschaft, Lifting und Kohomologie bei lokalkonvexen Produktgarben ⋮ Surjektivität und Parameterabhängigkeit bei partiellen Differentialoperatoren. (Surjectivity and parameter dependence in partial differential operators) ⋮ Decomposition of meromorphic Fredholm resolvents and \(\Psi^*\)-algebras ⋮ Eine Bemerkung zur Division von Distributionen durch analytische Operatorfunktionen ⋮ Holomorphe Systeme von Pseudodifferentialoperatoren ⋮ Regularisierung von Fredholmfunktionen ⋮ Ein Schwach-Stark-Prinzip der Dualitätstheorie lokalkonvexer Räume als Fortsetzungsmethode ⋮ On holomorphic operator function equations ⋮ Analysis on regular corner spaces ⋮ Real analytic curves in Fréchet spaces and their duals ⋮ HOLOMORPHIC NEAR INVERSES ⋮ Multiplicative spectra of Banach spaces ⋮ Fredholm operator families. II ⋮ On the decomposition theorem for meromorphic Fredholm resolvents ⋮ Symbolic calculus for boundary value problems on manifolds with edges ⋮ Parameter dependence of solutions of partial differential equations in spaces of real analytic functions

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