Hutson, V.; Pym, J. S. Applications of functional analysis and operator theory. (English) Zbl 0426.46009 Mathematics in Science and Engineering, Vol. 146. London etc.: Academic Press. XI, 389 p. $ 39.50 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 122 Documents MSC: 46B03 Isomorphic theory (including renorming) of Banach spaces 46-02 Research exposition (monographs, survey articles) pertaining to functional analysis 47-02 Research exposition (monographs, survey articles) pertaining to operator theory 28A25 Integration with respect to measures and other set functions 46B10 Duality and reflexivity in normed linear and Banach spaces 47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces 47E05 General theory of ordinary differential operators 47F05 General theory of partial differential operators 46A50 Compactness in topological linear spaces; angelic spaces, etc. 47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces 47A60 Functional calculus for linear operators 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs Keywords:Banach spaces; Lebesgue integration; linear operator theory; nonlinear operators; compact sets in Banach spaces; adjoint operator; linear compact operators; nonlinear compact operators; monotonicity; spectral theorem; generalized eigenfunction expansions; ordinary differential equations; linear elliptic partial differential equations; finite element method; degree theory; bifurcation theory Citations:Zbl 0326.47052 PDF BibTeX XML