| A REPRESENTATION THEOREM OF THE BOUNDED REGULAR OPERATORS FROM SOME SPACE X ONTO L_1(μ) |
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| 作者姓名： | MA Yumei (Department of Mathematics Dalian Nationalities University Dalian 116600 China) |
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| 作者单位： | Department of Mathematics,Dalian Nationalities University,Dalian 116600,China |
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| 基金项目： | This research is supported by the National Natural Science Foundation of China(No.19971046). |
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| 摘 要： | 1 PreliminaryIn this paPer, (n, Z, p) denotes the measure space of all finite complete positive measures,Ll (p) denotes all Bochner integrable functions on (Q, Z, p). Suppose X, Y are normed vectorlattices, X denotes the positive cone of X, L(X, Y) denotes all the 1inear operators from Xto Y. However, L(X, Y) may not be a lattice under the classical order. In [1], we know that ifX is a Banach lattice, then R(X, Y) 2 L"(X, Y), and if Y is order complete, so does R(X, Y).(Here R(X…
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