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Some results about diagonal operators on Köthe echelon spaces

  • Alberto Rodríguez-ArenasEmail author
Original Paper
  • 111 Downloads

Abstract

Several questions about diagonal operators between Köthe echelon spaces are investigated: (1) The spectrum is characterized in terms of the Köthe matrices defining the spaces, (2) It is characterized when these operators are power bounded, mean ergodic or uniformly mean ergodic, and (3) A description of the topology in the space of diagonal operators induced by the strong topology on the space of all operators is given.

Keywords

Echelon spaces Diagonal operators Mean ergodic operators Power bounded operators 

Mathematics Subject Classification

47B37 47A10 46A45 

Notes

Acknowledgements

The author would like to express his gratitude to his advisors José Bonet and Enrique Jordá for their guidance and their valuable suggestions and comments.

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Copyright information

© The Royal Academy of Sciences, Madrid 2019

Authors and Affiliations

  1. 1.Instituto Universitario de Matemática Pura y Aplicada IUMPAUniversitat Politècnica de ValènciaValenciaSpain

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