Linear equations depending differentiably on a parameter

DOI10.1007/BF01193758zbMath0704.47010OpenAlexW2073169876MaRDI QIDQ916986

Frank Mantlik

Publication date: 1990

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193758

zbMATH Keywords

regularitysmooth operator valued function

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (9)

Parameter dependence of solutions of the Cauchy-Riemann equation on weighted spaces of smooth functions ⋮ Linear topological invariants for kernels of convolution and differential operators ⋮ Smoothness of generalized inverses ⋮ Smoothness of generalized inverses ⋮ Splitting and parameter dependence in the category of \(\mathrm{PLH}\) spaces ⋮ The splitting of exact sequences of PLS-spaces and smooth dependence of solutions of linear partial differential equations ⋮ Meromorphic generalized inverses of operator functions ⋮ Real analytic parameter dependence of solutions of differential equations ⋮ Vector valued hyperfunctions and boundary values of vector valued harmonic and holomorphic functions

Cites Work

• Continuous selections. I
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• The analytic-functional calculus for several commuting operators
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• Holomorphe Semi-FREDHOLMfunktionen ohne komplementierte Kerne bzw. Bilder
• Lifting-Sätze für Vektorfunktionen und (EL)-Räume.
• BANACH Coherent Analytic FRÉCHET Sheaves
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