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Galbs, Tensor Products, and Convex-Holomorphic Mappings

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Toeplitz Centennial

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 4))

Abstract

Let f: U → E, g: V → F be two convex-holomorphic mappings and ϕ:E × F → G be bilinear continuous, with U ⊆ ₵n, V ⊆ ₵m open non empty, n ⩽ m, and E, F, G be three complete topological vector spaces. Then ϕ(f,g):U × V → G is holomorphic, but not convex-holomorphic.

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Author information

Authors and Affiliations

  1. Département de Mathématique, Université Libre de Bruxelles, Campus Plaine C.P.214, Bd du Triomphe, B-1050, Bruxelles, Belgium

    Lucien Waelbroeck

Authors
  1. Lucien Waelbroeck
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Editor information

Editors and Affiliations

  1. School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv, Israel

    I. Gohberg

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© 1982 Springer Basel AG

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Waelbroeck, L. (1982). Galbs, Tensor Products, and Convex-Holomorphic Mappings. In: Gohberg, I. (eds) Toeplitz Centennial. Operator Theory: Advances and Applications, vol 4. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5183-1_27

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  • DOI: https://doi.org/10.1007/978-3-0348-5183-1_27

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5184-8

  • Online ISBN: 978-3-0348-5183-1

  • eBook Packages: Springer Book Archive

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