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Home    Orders: US  Orders: other countries   Shopping Cart Matrix Editions future books   For information on volume 1: Functional Analysis Volume 1: A Gentle Introduction In preparation: Functional Analysis Volume 2: The spectral theorem for normal compact operators Tentative list of topics: Measure and integration Normed and topological vector spaces; Hilbert spaces Schauder bases; coefficient functionals and basic sequences equivalent bases Schauder basis for C([a,b], R) The Hahn-Banach theorem and its consequences Separation theorems Annihilators and the Banach adjoint Dual spaces of some well-known spaces Dual spaces of closed subsapces and quotient spaces Basic sequences in dual spaces The bi-dual and reflexivity Characterizations of reflexivity Weak and weak star toplogy Tukey's lemma and Tychonov's theorem on product of compact topological spaces Weak convergence in l^p Weak completeness of reflexive normed spaces Schur's theorem on the equivalence of weak and strong convergence in l^1; A Bolzano-Weierstrass theorem for weak convergence The Banach-Alaoglu theorem Operators on Hilbert spaces Spectral theory of Banach algebras The spectral radius formula and the spectral mapping theorem Gelfand-Mazur theorem and Wienner's theorem Compact operatorsand finite-rank operators spectral theory of compact operators The spectral theorem for compact normal operators on Hilbert space If you would like to be notified when this book becomes available, please sign up here. Top of page Back to Home