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Duality properties for b-AM-compact operators on Banach lattices

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Abstract

We obtain some necessary and some sufficient conditions on Banach lattices E and F for the following conditions to hold: (i) if T: E → F is a b-AM-compact operator, then T′: F′ → E′ is also b-AM-compact operator and (ii) if T′: F′ → E′ is b-AM-compact operator, then T: E → F is also b-AM-compact operator.

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References

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Author information

Authors and Affiliations

  1. School of Mathematics and Computer Engineering, Xihua University, Chengdu, China

    Na Cheng & Guang-Gui Chen

  2. School of Mathematics, Southwest Jiaotong University, Chengdu, China

    Zi-Li Chen

Authors
  1. Na Cheng
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  2. Zi-Li Chen
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  3. Guang-Gui Chen
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Corresponding author

Correspondence to Na Cheng.

Additional information

Published in Russian in Matematicheskie Zametki, 2013, Vol. 93, No. 3, pp. 442–447.

The text was submitted by the authors in English.

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Cheng, N., Chen, ZL. & Chen, GG. Duality properties for b-AM-compact operators on Banach lattices. Math Notes 93, 465–469 (2013). https://doi.org/10.1134/S0001434613030139

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  • DOI: https://doi.org/10.1134/S0001434613030139

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