| BANACH空间中卷积算子逼近 |
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| 引用本文： | 李落清.BANACH空间中卷积算子逼近[J].宁夏大学学报(自然科学版),1992,13(1):6-14. |
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| 作者姓名： | 李落清 |
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| 作者单位： | 北京师范大学 |
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| 摘 要： | T. Nishishiraho借助于强连续算子群研究了Banach空间上卷积算子的逼近问题。它是一元周期卷积算子在抽象空间中的自然推广。本文在Banach空间中引进多参数卷积算子并研究其逼近性质,得到类似于1]中的结果。并由此给出多元周期函数空间中卷积算子逼近的量化定理。
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| 关 键 词： | 巴拿赫空间 卷积算子 逼近 |
Approximation by Convolution Operators in Banach Spaces |
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| Li Luoqing.Approximation by Convolution Operators in Banach Spaces[J].Journal of Ningxia University(Natural Science Edition),1992,13(1):6-14. |
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| Authors: | Li Luoqing |
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| Institution: | Beijing Normal University |
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| Abstract: | This paper deals with the convergence rate for approximation by m-parameter convolution operators in Bancah spaces. Our results yield applications to the approximation by multi convolution operators in multiperiodic function spaces. |
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| Keywords: | Banach space approximate identity kernel convolution operators approximation |
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