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On multiplication operators acting on Köthe sequence spaces

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Abstract

We present some characterizations for the multiplication operators \(M_u\) with finite range when acts on any Köthe sequence spaces. we also characterize its compactness and Fredholmness. Our characterizations are presented in terms of certain properties of the zeros set and the support of the symbol u.

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The author would like to thank the referees for their valuable comments which helped to improve the manuscript.

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Correspondence to Julio C. Ramos-Fernández.

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Ramos-Fernández, J.C., Salas-Brown, M. On multiplication operators acting on Köthe sequence spaces. Afr. Mat. 28, 661–667 (2017). https://doi.org/10.1007/s13370-016-0475-3

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  • DOI: https://doi.org/10.1007/s13370-016-0475-3

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