nLab functional analysis bibliography

A Bibliography for Functional Analysis Entries

• Walter Rudin, Functional analysis

• A. A. Kirillov, A. D. Gvišiani, Теоремы и задачи функционального анализа (theorems and exercises in functional analysis), Moskva, Nauka 1979, 1988

• A. Ya. Helemskii, Lectures and exercises on functional analysis (pretty categorical point of view!) Translations of Math. Monographs 233 (AMS 2006)

• Sergiu Klainerman, Lecture notes in analysis, 2011 (pdf)

• K. Yosida, Functional analysis

• H. H. Schaefer, Topological vector spaces, GTM 3, Springer.

• Gottfried Köthe, Topological vector spaces, (two volumes)

• Nelson Dunford, Jacob T Schwartz, Linear operators, spectral theory, self adjoint operators in Hilbert space (Part 2) (1967, paperback 1988). Wiley.

• R. Kadison, Introduction to operator algebras

• Gerald B. Folland, A course in abstract harmonic analysis, Studies in Advanced Mathematics. CRC Press, Boca Raton, FL, 1995. x+276 pp. gBooks

• Zbigniew Semadeni, Banach spaces of continuous functions, vol. I, gBooks

• Andreas Kriegl, Peter Michor, The convenient setting of global analysis (free download here)

• Kolmogorov, Fomin, Elements of the theory of functions and functional analysis
• F.Riesz and Nagy, Functional Analysis
• Elias Stein?, R. Shakarchi, Functional Analysis: An Introduction to Further Topics in Analysis, Princeton University Press 2011, ISBN 0691113874.
• Haim Brezis, Functional analysis, Sobolev spaces and partial differential equations,
• Georgi E. Shilov, Elementary functional analysis
• Eliott H. Lieb, Michael Loss, Analysis, Grad. Studies in Math. 14, Amer. Math. Soc. 2001 (2nd ed.)

category: analysis