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Decompositions of Banach spaces C(K) with few operators

  • Rogério Augusto dos Santos Fajardo
  • Alirio Gómez Gómez
  • Leonardo Pellegrini
Survey
  • 44 Downloads

Abstract

This survey studies properties of Banach spaces of the form C(K) with few operators, mostly related to the possible decompositions of such spaces. We discuss the classical theorems and constructions found in the literature, present some new results and open problems.

Keywords

Connected spaces C(KKoszmider spaces Weakly Koszmider spaces Few operators Lineability Indecomposable Banach space 

Mathematics Subject Classification

Primary 46E15 

Notes

Acknowledgements

The authors thank Piotr Koszmider for helpful suggestions and remarks during his visit to University of São Paulo.

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Copyright information

© Instituto de Matemática e Estatística da Universidade de São Paulo 2018

Authors and Affiliations

  1. 1.Instituto de Matemática e EstatísticaUniversidade de São PauloSão PauloBrazil

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