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正的DunfordPettis算子的L和M弱紧性

, PP. 632-634

Keywords: DunfordPettis算子,L弱紧算子,M弱紧算子

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Abstract:

首先给出了Banach格上正的DunfordPettis算子是L弱紧算子的充分必要条件,且给出了有限维的Banach格的另一个刻画,其次给出了Banach格上正的DunfordPettis算子是M弱紧算子的必要条件,最后给出了Banach格上正的M弱紧算子是DunfordPettis算子的充分条件.

References

[1]  MeyerNieberg P. Banach Lattices\[M\]. Berlin:SpringerVerlag,1991.
[2]  Wickstead A W. Converses for the DoddsFremin and KaltonSaab theorems\[J\]. Math Proc Camb Phil Soc,1996,120:175-179.
[3]  Aquzzouz B, Nouria R, Zraoula L. About positive DunfordPettis operators on Banach lattices\[J\]. J Math Anal Appl,2006,324:49-59.
[4]  Aquzzouz B, Nouria R, Zraoula L. Semicompactness of positive DunfordPettis operators on Banach lattices\[J\]. Proceedings of the American Mathematical Society,2008,136(6):1997-2006.
[5]  Aquzzouz B, Elbour A. Some characterizations of compact operators on Banach lattices\[J\]. Rendiconti del Circolo Matematico di Palermo,2008,57:423-431.
[6]  Aquzzouz B, Zraoula L. AMcompactness of positive DunfordPettis operators on Banach lattices\[J\]. Rendiconti del Circolo Matematico di Palermo,2007,2:305-316.
[7]  Chen Z L. Domination properties of lattice homomorphisms \[J\]. Positivity,2009,13(1):51-60.
[8]  Chen Z L, Wickstead A W. Lweakly and Mweakly compact operators\[J\]. Indagationes Mathematicae,1999,10(3):321-336.
[9]  Aquzzouz B, Nouria R, Hmichane J. Some properties of the class of positive DunfordPettis operator\[J\]. J Math Anal Appl,2009,354:295-300.
[10]  Aliprantis C D, Burkinshaw O. Positive Operators\[M\]. New York:Academic Press,1985.

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