| INTEGRAL REPRESENTATION OF NONLINEAR OPERATORS |
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| 引用本文： | MilagrosPNavarro PollyWSy. INTEGRAL REPRESENTATION OF NONLINEAR OPERATORS[J]. 数学研究, 1994, 27(1): 142-147 |
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| 作者姓名： | MilagrosPNavarro PollyWSy |
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| 作者单位： | DeptofMath,UnivofthePhilippines |
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| 摘 要： | A continuous linear functional on some function space can be represented by an integral which in its usual form is linear. In this paper, we give an integral representation of a nonlinear operator on the space C=C([0,1],X) of continuous functions on [0,1] with values in a Banach space X. This is done by means of a nonlinear integral using a kernel type function.
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| 关 键 词： | 积分表达式 非线性算子 连续函数 巴拿赫空间 |
INTEGRAL REPRESENTATION OF NONLINEAR OPERATORS |
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| MilagrosPNavarro PollyWSy. INTEGRAL REPRESENTATION OF NONLINEAR OPERATORS[J]. Journal of Mathematical Study, 1994, 27(1): 142-147 |
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| Authors: | MilagrosPNavarro PollyWSy |
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| Affiliation: | DeptofMath,UnivofthePhilippines |
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| Abstract: | A continuous linear functional on some function space can be represented by an integral which in its usual form is linear. In this paper, we give an integral representation of a nonlinear operator on the space C=C([0,1],X) of continuous functions on [0,1] with values in a Banach space X. This is done by means of a nonlinear integral using a kernel type function. |
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