| THE MINIMAL PROPERTY OF THE CONDITION NUMBER OF INVERTIBLE LINEAR BOUNDED OPERATORS IN BANACH SPACES |
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| 作者姓名： | 陈果良 魏木生 |
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| 作者单位： | Department of Mathematics, East China Normal University, Shanghai 200062
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| 基金项目： | This work was supported by the National Natural Sciences Foundation P. R. China, (No. 19871029) and the City Foundation of Shanghai for Selected Academic Reseach. |
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| 摘 要： | In this paper we show that in error estimates, the condition number k(T) of any in-vertible linear bounded operator T in Banach spaces is minimal. We also extend the Hahn-Ba-nach theorem and other related results.
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THE MINIMAL PROPERTY OF THE CONDITION NUMBER OF INVERTIBLE LINEAR BOUNDED OPERATORS IN BANACH SPACES |
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| Chen Guoliang,Wei Musheng.THE MINIMAL PROPERTY OF THE CONDITION NUMBER OF INVERTIBLE LINEAR BOUNDED OPERATORS IN BANACH SPACES[J].Numerical Mathematics A Journal of Chinese Universities English Series,2002,11(1):63-69. |
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| Authors: | Chen Guoliang Wei Musheng |
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| Institution: | Department of Mathematics, East China Normal University, Shanghai 200062 |
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| Abstract: | In this paper we show that in error estimates, the condition number k(T) of any in-vertible linear bounded operator T in Banach spaces is minimal. We also extend the Hahu-Ba-nach theorem and other related results. |
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| Keywords: | Banach space condition number error estimate |
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