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Characterization of matrix operators on Orlicz spaces

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Abstract

We give equivalent conditions for tensor product of Orlicz sequence spaces, then we obtain a necessary and sufficient condition for a class of matrix operators acting on Orlicz sequence spaces to be continuous and compact.

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Authors and Affiliations

  1. Department of Mathematics, Suzhou University, 215006, Suzhou, Jiangsu, P.R. China

    Y. Q. Yan

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  1. Y. Q. Yan
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Correspondence to Y. Q. Yan.

Additional information

Project supported by NSFC:10571054, NSFJ:BK2007049, NSFC:10771154.

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Yan, Y.Q. Characterization of matrix operators on Orlicz spaces. Collect. Math. 60, 115–122 (2009). https://doi.org/10.1007/BF03191220

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  • DOI: https://doi.org/10.1007/BF03191220

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