Introduction to Banach Spaces: Analysis and Probability, Volume 1, (PDF) provides a complete overview of the theory of Banach spaces, focusing its interplay with classical and harmonic analysis (specifically Sidon sets) and probability. The authors give a full exposition of all results, together with numerous exercises and comments to complement the text and help graduate students in functional analysis. The ebook will also be an invaluable reference volume for researchers in the analysis. Volume 1 includes the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis, and probability. The authors also give an annex devoted to compact Abelian groups. Volume 2 (not included in this) emphasizes applications of the tools presented in the first volume, including Dvoretzky’s theorem, Gaussian processes, spaces without the approximation property, and more.
NOTE: The product includes the ebook, Introduction to Banach Spaces: Analysis and Probability, Volume 1 in PDF. No access codes are included.