## Complex Analysis, Functional Analysis and Approximation TheoryThis proceedings volume contains papers of research of expository nature, and is addressed to research workers and advanced graduate students in mathematics. Some of the papers are the written and expanded texts of lectures delivered at the conference, whereas others have been included by invitation. |

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### Contents

1 | |

25 | |

Metric projections of c onto closed vector sublattices | 47 |

A new theory of generalized functions | 57 |

The second dual of a JB triple system | 67 |

Holomorphic approximation in the theory of CauchyRiemann functions | 71 |

Approximation with subspaces of finite codimension | 83 |

Microhyperbolic analytic functions | 95 |

Normal solvability in duals of LFspaces | 173 |

A HahnBanach extension theorem for some holomorphic functions | 205 |

A glance at holomorphic factorization and uniform holomorphy | 221 |

Classification of LFspaces by some Bairelike covering properties | 247 |

Nonarchimedean gDFspaces and continuous functions | 261 |

Pseudoconvexity uconvexity and domains of uholomorphy | 273 |

The proof of the inversion mapping theorem in a Banach scale | 281 |

On certain metrizable locally convex spaces | 287 |

### Other editions - View all

Complex Analysis, Functional Analysis, and Approximation Theory ..., Issue 125 Jorge Mujica No preview available - 1986 |

### Common terms and phrases

ANALYSIS AND APPROXIMATION analytic analytic set approacimation APPROXIMATION THEORY Baire-like Banach space bounded sets codim codimension compact subset complex locally convex condition continuous map COROLLARY CR function CR manifold CR submanifold denote dense domain eacp eacts example exists Expº F-convex finite dimensional finitely defined follows Fréchet space Fredholm function f FUNCTIONAL ANALYSIS g DF-space Hence Hilbert space holomorphic factorization holomorphic functions kernel Lemma Let f LF)-space linear mapping locally convex space LPDO ly convea manifold Math metrizable Mujica Editor n e IW Nachbin neighbourhood normed space open subset operator projective limit representation PROOF PROPOSITION prove proximinal result Science Publishers B.V. seminorm Separable Quotient sequence set of uniqueness SF-analytic sets SF-map ſº submanifold supp surjective theorem tion topology type zero uniform holomorphy vector space