## Functional Analysis: Surveys and Recent Results IIIThis volume contains 22 articles on topics of current interest in functional analysis, operator theory and related areas. Some of the papers have connections with complex function theory in one and several variables, probability theory and mathematical physics. Surveys of some areas of recent progress in functional analysis are given and related new results are presented. The topics covered in this volume supplement the discussion of modern functional analysis in the previous Proceedings volumes. Together with the previous volumes, the reader obtains a good impression of many aspects of present-day functional analysis and its applications. Parts of this volume can be used profitably in advanced seminars and courses in functional analysis. |

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### Contents

1 | |

CHChapter 2 Gateaux differentiation of functions on a certain class of Banach spaces | 35 |

CHChapter 3 Banach spaces of operators and local unconditional structure | 47 |

CHChapter 4 Duality and geometry of spaces of compact operators | 59 |

CHChapter 5 On certain locally convex topologies on Banach spaces | 79 |

CHChapter 6 Decompositions of positive operators and some of the irapplications | 95 |

CHChapter 7 Tauberian theorems for operators on L and similar spaces | 117 |

CHChapter 8 Positive bilinear forms and the RadonNikodym theorem | 135 |

CHChapter 12 Ergodic theorems in von Neumann algebras | 189 |

CHChapter 13 Automatic continuity of homomorphisms from Calgebras | 197 |

CHChapter 14 Epimorphisms of Calgebras | 219 |

CHChapter 15 Nuclearity and function algebras a survey | 233 |

CHChapter 16 Reflexive function algebras | 253 |

CHChapter 17 The HahnBanach extension theorem for some spaces of nhomogeneous polynomials | 265 |

CHChapter 19 The theorem of BochnerSchwartzGodement for generalized Gelfand pairs | 291 |

CHChapter 20 Multiplication and convolution operators between spaces of distributions | 305 |

CHChapter 9 What can positivity do for stability ? | 145 |

CHChapter 10 Extensions of positive operators | 155 |

CHChapter 11 On matrix order and convexity | 175 |

CHChapter 21 Structure of closed linear translation invariat subspaces of AC and kernels of convolution operators | 331 |

CHChapter 22 Some results on continuous linear maps between Frechet spaces | 349 |

### Common terms and phrases

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