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Functional analysis. Theory and applications. (Analyse fonctionnelle. Théorie et applications.) (French) Zbl 1147.46300

Collection Mathématiques Appliquées pour la Maîtrise. Paris: Masson. 248 p. (1994).
See the review of the 1983 edition in Zbl 0511.46001.

MSC:

46-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
47-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory
47F05 General theory of partial differential operators
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
46B03 Isomorphic theory (including renorming) of Banach spaces
46B10 Duality and reflexivity in normed linear and Banach spaces
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
47E05 General theory of ordinary differential operators
47D03 Groups and semigroups of linear operators
47A53 (Semi-) Fredholm operators; index theories
35K05 Heat equation
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35J10 Schrödinger operator, Schrödinger equation

Citations:

Zbl 0511.46001
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