| 两个酉算子的线性组合与框架分解 |
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| 引用本文： | 李祚,朱红鲜,张慧,杜鸿科.两个酉算子的线性组合与框架分解[J].东北数学,2005,21(2):212-220. |
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| 作者姓名： | 李祚 朱红鲜 张慧 杜鸿科 |
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| 作者单位： | [1]CollegeofScience,Xi＇anUniversityofArchitectureandTechnology,Xi＇an,710055 [2]CollegeofScience,Xi＇anUniversityofArchitectureandTechnology,Xi＇an,710055 |
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| 摘 要： | In this paper, we prove that the norm closure of all linear combinations of two unitary operators is equal to the norm closure of all invertible operators in B(H). We apply the results to frame representations and give some simple and alternative proofs of the propositions in “P. G. Casazza, Every frame is a sum of three (but not two) orthonormal bases-and other frame representations, J. Fourier Anal. Appl., 4(6)(1998), 727-732.”
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| 关 键 词： | 极化分解 信息图象表达式 希尔伯特空间 有界线性算子 |
Two Combinations of Unitary Operators and Frame Representations |
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| LI Zuo,ZHU Hong-xian,ZHANG Hui,DU Hong-ke.Two Combinations of Unitary Operators and Frame Representations[J].Northeastern Mathematical Journal,2005,21(2):212-220. |
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| Authors: | LI Zuo ZHU Hong-xian ZHANG Hui DU Hong-ke |
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| Abstract: | In this paper, we prove that the norm closure of all linear combinations of two unitary operators is equal to the norm closure of all invertible operators in B(H). We apply the results to frame representations and give some simple and alternative proofis of the propositions in "P. G. Casazza, Every frame is a sum of three (but not two) orthonormal bases-and other frame representations, J. Fourier Anal. Appl., 4(6)(1998), 727-732." |
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| Keywords: | polar decomposition semi-Fredholm spectral decomposition frame representation |
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