## Banach Spaces and Their Applications in Analysis: Proceedings of the International Conference at Miami University, May 22-27, 2006, in Honor of Nigel Kalton's 60th BirthdayBeata Randrianantoanina, Narcisse Randrianantoanina In recent years there has been a surge of profound new developments in various aspects of analysis whose connecting thread is the use of Banach space methods. Indeed, many problems seemingly far from the classical geometry of Banach spaces have been solved using Banach space techniques. This volume contains papers by participants of the conference "Banach Spaces and their Applications in Analysis", held in May 2006 at Miami University in Oxford, Ohio, in honor of Nigel Kalton's 60th birthday. In addition to research articles contributed by participants, the volume includes invited expository articles by principal speakers of the conference, who are leaders in their areas. These articles present overviews of new developments in each of the conference's main areas of emphasis, namely nonlinear theory, isomorphic theory of Banach spaces including connections with combinatorics and set theory, algebraic and homological methods in Banach spaces, approximation theory and algorithms in Banach spaces. This volume also contains an expository article about the deep and broad mathematical work of Nigel Kalton, written by his long time collaborator, Gilles Godefroy. Godefroy's article, and in fact the entire volume, illustrates the power and versatility of applications of Banach space methods and underlying connections between seemingly distant areas of analysis. |

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### Contents

Yuri Brudnyi | 37 |

F CaSTiLLo Yolanda Moreno | 59 |

Stephen J Dilworth Bunyamin Sari | 77 |

Joram LindenSTrauss David Preiss Jaroslav Tiser | 111 |

Jan van Neerven Mark Veraar Lutz Weis | 125 |

Edward OdeLL Thomas Schlumprecht Andras Zsak | 147 |

Gideon Schechtman | 183 |

Roman Vershynin | 209 |

Earl Berkson Oscar Blasco Maria J CarRO Thomas A GiLLLEspie | 265 |

Olga A Brezhneva ALExey A Tretyakov | 285 |

Stefan Czerwik Maciej Przybyla | 303 |

RicHArd J FLEmiNG | 331 |

Anna KaminSKa Anca M Parrish | 357 |

Grzegorz Lewicki Leslaw Skrzypek | 375 |

RenxiNG | 391 |

Boris SheKHtman | 413 |

AcoSTa Luiza A Moraes | 229 |

George Androulakis Frank Sanacory | 241 |

Participants of the conference | 441 |