Banach格上b - AM -紧算子空间的AL -空间

Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (3): 573-576.

AL-space of Positive b-AM-compact Operators on Banach Lattice

CHENG Na

School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039

Received:2011-08-10 Revised:2012-11-10 Online:2013-06-25 Published:2013-06-25
Supported by:
西华大学校重点项目(Z1122631)、四川省教育厅项目(12ZB135)、四川省网络智能信息处理高校重点实验室(SGXZD1002-10)和西华大学无线电信号智能处理校重点实验室(XZD0818-09)资助

K_b-AM^r(E, F), the space of all positive b-AM-compact operators from E into F, is an AL-space under the ||•||_b-AM-norm if and only if E is an AM-space and F is an AL-space; K_b-AM^r(E, F) under the ||•||_b-AM-norm is isomorphic to an AL-space if and only if E is an AM-space and F is an AL-space.

Key words: Banach lattices, b-AM-compact operator, AL-space, AM-space

CLC Number:

46B42

Cite this article

CHENG Na. AL-space of Positive b-AM-compact Operators on Banach Lattice[J].Acta mathematica scientia,Series A, 2013, 33(3): 573-576.

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[9] Cheng Na, Chen Zi-li. Duality properties for the b-AM-compact operators on Banach lattices. Accept

[10] Cheng Na, Chen Zi-li. Dedekind σ-complete vector lattice of b-AM-compact operators. Submitted

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