Applications of functional analysis and operator theory

Vivian Hutson, Michael J. Cloud, John S. Pym

Publication date: 27 May 2005

Published in: Mathematics in Science and Engineering (Search for Journal in Brave)

monotonicity Banach spaces finite element method ordinary differential equations degree theory bifurcation theory spectral theorem linear elliptic partial differential equations adjoint operator nonlinear operators Lebesgue integration linear operator theory generalized eigenfunction expansions compact sets in Banach spaces linear compact operators nonlinear compact operators

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Integration with respect to measures and other set functions (28A25) Isomorphic theory (including renorming) of Banach spaces (46B03) Functional calculus for linear operators (47A60) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Duality and reflexivity in normed linear and Banach spaces (46B10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Compactness in topological linear spaces; angelic spaces, etc. (46A50) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory (47-01) Miscellaneous applications of operator theory (47Nxx) Miscellaneous applications of functional analysis (46Nxx)

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