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The Bidual of C(X) I.

Analytical spaces

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This volume contains the proceedings of a miniconfrence on linear analysis and function spaces held at the Australian National University in October, 1984, under the sponsorship of the Centre for Mathematical Analysis. It is divided into two parts.

Function spaces

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This volume contains the proceedings of a miniconfrence on linear analysis and function spaces held at the Australian National University in October, 1984, under the sponsorship of the Centre for Mathematical Analysis. It is divided into two parts.

Function spaces

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Banach spaces --- Bases (Linear topological spaces) --- Basis theory (Linear topological spaces) --- Linear topological spaces --- Sequences (Mathematics) --- Functions of complex variables --- Generalized spaces --- Topology --- Analytical spaces

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This book presents a set of basic properties of holomorphic mappings between complex normed spaces and between complex locally convex spaces. These properties have already achieved an almost definitive form and should be known to all those interested in the study of infinite dimensional Holomorphy and its applications.The author also makes ``incursions'' into the study of the topological properties of the spaces of holomorphic mappings between spaces of infinite dimension. An attempt is then made to show some of the several topologies that can naturally be considered in these spaces.