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The algebraic structure of homogeneous balls

  • Yaakov Friedman
  • Tzvi Scarr
Part of the Progress in Mathematical Physics book series (PMP, volume 40)

Abstract

In this chapter we will present the main ideas of the theory of homogeneous balls and bounded symmetric domains and the algebraic structure associated with them. The domains will be domains in complex Banach spaces and their homogeneity and symmetry will be with respect to analytic (called also holomorphic) maps. Thus we will start with the definition and study of the analytic mappings on Banach spaces. Next we will consider the group of analytic automorphisms Aut a (D) of a bounded domain D and show that the elements of this group are uniquely defined by their value and the value of their derivative at some point.

Keywords

Banach Space Unit Ball Symmetric Space Jordan Algebra Triple Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2005

Authors and Affiliations

  • Yaakov Friedman
    • 1
  • Tzvi Scarr
    • 2
  1. 1.Department of MathematicsJerusalem College of TechnologyJerusalemIsrael
  2. 2.Department of MathematicsJerusalem College of TechnologyJerusalemIsrael

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