The Analyst’s Gambit : A Second Course in Functional Analysis (Hardcover)

Preface 1.?Basic notions and first examples of Banach spaces 2.?The Hahn?Banach theorems and duality 3.?The dual spaces of Lp and C0(X) 4.?The open mapping, uniform boundedness and closed graph theorems 5.?Further aspects of duality: weak convergence and the adjoint 6. Locally convex spaces and weak topologies 7. The Krein?Milman theorem and applications 8.?Banach algebras 9.?Commutative Banach algebras 10.?C*-algebras 11.?The spectral theorem and von Neumann algebras 12.?Representations of C*-algebras 13.?Unbounded operators?Bibliography Index