Generalized Random Spectral Measures |
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| Authors: | Dang Hung Thang Nguyen Thinh Tran Xuan Quy |
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| Institution: | 1. Department of Mathematics, Hanoi University of Sciences, Hanoi, Vietnam
2. Department of Mathematics, College of Sciences, Thai Nguyen University, Thai Nguyen City, Vietnam
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| Abstract: | In an attempt to examine the random version of the spectral theorem, the notion of random spectral measures and generalized random spectral measures are introduced and investigated. It is shown that each generalized random spectral measure on $(\mathbb C ,\mathcal{B}(\mathbb C ))$ admits a modification which is a random spectral measure. |
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