Applied functional analysis. Exercises by Bernard Cornet and Jean-Michel Lasry. Transl. by Carole Labrousse. (English) Zbl 0424.46001

Aubin, Jean-Pierre

Pure and Applied Mathematics. A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. XVI, 423 p. £16.50 (1979).

MSC:

46-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
46C05	Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
46F05	Topological linear spaces of test functions, distributions and ultradistributions
46E30	Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46M05	Tensor products in functional analysis
47B10	Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
47D03	Groups and semigroups of linear operators
47H10	Fixed-point theorems

Keywords:

Fourier transform; convolution operators; convex analysis; spectral theory of compact operators; Hilbert-Schmidt operators; tensor products; semigroup theory; nonlinear analysis; optimization theory; game theory; mathematical economics; optimal control; numerical analysis; boundary value problems