The Cesàro Operator on Duals of Smooth Sequence Spaces of Infinite Type

  • Ersin KızgutEmail author


The discrete Cesàro operator \(\mathsf {C}\) is investigated in strong duals of smooth sequence spaces of infinite type. Of main interest is its spectrum, which turns out to be distinctly different in the cases when the space is nuclear and when it is not.


Cesàro operator duals of smooth sequence spaces generalized power series spaces spectrum (LB)-space 

Mathematics Subject Classification

47A10 47B37 46A45 46A04 



The author wishes to thank Prof. José Bonet for useful suggestions and discussions.


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Authors and Affiliations

  1. 1.Instituto Universitario de Matemática Pura y AplicadaUniversitat Politècnica de ValènciaValenciaSpain

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