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On Tensor Products of l-Operators and bo-Operators

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Abstract

It is proved that the tensor product of two linear operators is a cone summing operator (respectively, order bounded operator) if and only if both operators are cone summing (respectively, order bounded).

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References

  1. V. T. Khudalov, “On the coincidence of two cross-norms related to the order” Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) [J. Soviet Math.], 92, 307-312 (1979).

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Authors and Affiliations

  1. North Osetia State University, Vladikavkaz

    V. T. Khudalov

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  1. V. T. Khudalov
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Khudalov, V.T. On Tensor Products of l-Operators and bo-Operators. Mathematical Notes 68, 640–643 (2000). https://doi.org/10.1023/A:1026627825854

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  • DOI: https://doi.org/10.1023/A:1026627825854

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