Differentiable operators and nonlinear equations. Translated from the Russian by Mircea Martin

zbMath0807.46047MaRDI QIDQ1313139

Victor A. Khatskevich, David M. Shoikhet

Publication date: 10 January 1994

Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)

zbMATH Keywords

projectionsweak topologyHilbert spacesinvariant subspacesreflexivitynonlinear operator equationsBanach fixed point principlemetrizabilityBanach manifoldsGâteaux and Fréchet differentiabilityholomorphic mappings on Banach spacesdifferential calculus in normed spacesholomorphic (analytic) operatorsintegration in normed spacesnonlinear equations with differentiable operatorsnonlinear equations with holomorphic operatorsnonregular solutionsoperators on spaces with indefinite metricsolvable operators

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Infinite-dimensional holomorphy (46G20) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Linear operators on spaces with an indefinite metric (47B50) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01)

Related Items (3)

Inertia theorems for operator pencils and applications ⋮ Results and conjectures in holomorphic fixed point theory ⋮ Urysohn and Hammerstein operators on Hölder spaces

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