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An introduction to modern Banach space theory, in which applications to other areas such as harmonic analysis, function theory, orthogonal series and approximation theory are also given prominence. The book is intended to be used with graduate courses in Banach space theory.
"New isoperimetric inequalities and random process techniques have recently appeared at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (e.g. b…