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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27989

    Title: An abstract ergodic theorem and some inequalities for operators on Banach spaces
    Authors: Li,YC;Shaw,SY
    Contributors: 數學研究所
    Keywords: UNIFORM
    Date: 1997
    Issue Date: 2010-06-29 19:39:36 (UTC+8)
    Publisher: 中央大學
    Abstract: We prove an abstract mean ergodic theorem and use it to show that if {A(n)} is a sequence of commuting m-dissipative (or normal) operators on a Banach space X, then the intersection of their null spaces is orthogonal to the linear span of their ranges. It is also proved that the inequality \\x + Ay\\ greater than or equal to \\x\\-2 root\\Ax \\y\\ (x, y is an element of D(A)) holds for any m-dissipative operator A. These results either generalize or improve the corresponding results of Shaw, Mattila, and Crabb and Sinclair, respectively.
    Appears in Collections:[數學研究所] 期刊論文

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