| Paradoxical decompositions | |
| The Banach-Tarski paradox | |
| Tarski's theorem | |
| Notes and comments | |
| Amenable, locally comact groups | |
| Invariant means on locally compact groups | |
| Hereditary properties | |
| Day's fixed point theorem | |
| Representations on Hilbert space | |
| Notes and comments | |
| Amenable Banach algebras | |
| Johnson's theorem | |
| Virtual and approximate diagonals | |
| Hereditary properties | |
| Hochschild cohomology | |
| Notes and comments | |
| Exemples of amenable Banach algebras | |
| Banach algebras of compact operators | |
| A commutative, radical, amenable Banach algebra | |
| Notes and comments | |
| Amenability-like properties | |
| Super-amenability | |
| Weak amenability | |
| Biprojectivity and biflatness | |
| Connes-amenability | |
| Notes and comments | |
| Banach homology | |
| Projectivity | |
| Resolutions and Ext-groups | |
| Flatness and injectivity | |
| Notes and Comments | |
| C* and W*-algebras | |
| Amenable W*-algebras | |
| Injective W*-algebras | |
| Tensor products of C*- and W*-algebras | |
| Semidiscrete W*-algebras | |
| Normal, virtual diagonals | |
| Notes and comments | |
| Bounded approximate identities for Fourier algebras | |
| (Non-)amenability of Fourier | |
| Operator amenable operator Banach algebras | |
| Operator amenability of Fourier algebras | |
| Operator amenability of C*-algebras | |
| Notes and comments | |
| Geometry of spaces of homomorphisms | |
| Infinite-dimensional differential geometry | |
| Spaces of homomorphisms | |
| Notes and Comments | |
| Open problems | |
| Abstract harmonic analysis | |
| Convolution of measures and functions | |
| Invariant subspaces of L(infinity symbol)(G) | |
| Regular representations on Lp(G) | |
| Notes and comments | |
| The algebraic tensor products | |
| Banach space tensor products | |
| The injective tensor product | |
| The projective tensor product | |
| The Hilbert space tensor product | |
| Notes and comments | |
| Banach space properties | |
| Approximation properties | |
| The Radon-Nikokym property | |
| Local theory of Banach spaces | |
| Notes and comments | |
| Operator spaces | |
| Abstract and concrete operator spaces | |
| Completely bounded maps | |
| Tensor products of operator spaces | |
| Operator Banach algebras | |
| Notes and comments | |
| List of symbols | |
| References | |
| Index | |
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