## 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 BirthdayThis volume contains contributions of principal speakers of a conference on Banach Spaces and their applications in analysis, held in May 2006 at Miami, Ohio, in honor of Nigel Kalton's 60th birthday. Its merit lies in the fact that it aims to encompass applications of Banach space methods in different areas of analysis, emphasizing versatility of the 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 |

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### Common terms and phrases

2-linear map Amer approximation assume asymptotically transitive ball proximinal Banach space basic sequence Besov spaces bilinear block sequence Borel boundary bounded Chalmers-Metcalf operator compact complex convergence convex Corollary countable defined definition denote dimensional dual duality equivalence relations estimates example exists finite Frechet differentiable function G Sx Greedy Algorithm Hence Hilbert space homeomorphism hypercyclic implicit function theorem implies inequality infinite infinite-dimensional isometric isomorphic Lemma linear operator Lipschitz map mapping F Math Mathematics measure metric derivative metrically differentiable minimal projections norm normalized numbers obtain polynomials porous set problem proof of Theorem Proposition prove quasi-Banach space random variables reflexive space result satisfies subsequential Schauder basis separable Banach space sequence spaces smooth Banach space stochastically integrable subset Theorem 3.1 theory topology unconditional basis uniformly smooth Banach unit ball University vector WCGA