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On the Lie algebra of holomorphic infinitesimal isometries of some classical complex symmetric Banach manifolds

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Central European Journal of Mathematics

Abstract

The Banach-Lie algebras ℌκ of all holomorphic infinitesimal isometries of the classical symmetric complex Banach manifolds of compact type (κ = 1) and non compact type (κ = −1) associated with a complex JB*-triple Z are considered and the Lie ideal structure of ℌκ is studied.

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Authors and Affiliations

  1. Facultad de Matemáticas, Santiago de Compostela, Spain

    José M. Isidro

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  1. José M. Isidro
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Correspondence to José M. Isidro.

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Isidro, J.M. On the Lie algebra of holomorphic infinitesimal isometries of some classical complex symmetric Banach manifolds. centr.eur.j.math. 5, 696–709 (2007). https://doi.org/10.2478/s11533-007-0028-y

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  • DOI: https://doi.org/10.2478/s11533-007-0028-y

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