Methods of modern mathematical physics. I: Functional analysis. Rev. and enl. ed. (English) Zbl 0459.46001

Reed, Michael; Simon, Barry

New York etc.: Academic Press, A Subsidiary of Harcourt Brace Jovanovich, Publishers, XV, 400 p. $ 24.00 (1980).

MSC:

46A03	General theory of locally convex spaces
46-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
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
47B25	Linear symmetric and selfadjoint operators (unbounded)

Keywords:

Riesz lemma; Tychonoff’s theorem; Riesz-Markov theorem; minimization of functionals; compact operators; monotone convergence for forms; Trotter product formula; unbounded operators

Citations:

Zbl 0242.46001