Zeidler, Eberhard Applied functional analysis. Applications to mathematical physics. Vol. 1. (English) Zbl 0834.46002 Applied Mathematical Sciences. 108. Berlin: Springer Verlag. xxix, 479 p. (1995). This volume is reviewed together with volume Appl. Math. Sci. 109 below. Reviewer: J.Appell (Würzburg) Cited in 2 ReviewsCited in 157 Documents MSC: 46-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis 81-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to quantum theory 47-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory Keywords:linear spaces and operators; dual spaces; Neumann series; spectra; Brouwer’s and Schauder’s fixed point theorems; Banach-Caccioppoli theorem; Leray-Schauder principle; Dirichlet principle; orthogonality; boundary value problems; finite elements; iteration-projection methods; Minty’s existence and uniqueness principle; expansions of functions into series of eigenfunctions; Fourier series and integrals; Hilbert-Schmidt theory of eigenvalues of compact symmetric operators; integral equations; selfadjoint operators; Friedrichs extension; partial differential equations; semigroups of operators; trace class operators; \(C^*\) algebras; basic problems of quantum mechanics; quantum statistics; scattering theory; Feynman’s path integrals Citations:Zbl 0834.46003 PDFBibTeX XMLCite \textit{E. Zeidler}, Applied functional analysis. Applications to mathematical physics. Vol. 1. Berlin: Springer Verlag (1995; Zbl 0834.46002)