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SM ISO690:2012 POPESCU, George. Perturbations of Rhaly Operators. In: Conference on Applied and Industrial Mathematics: CAIM 2022, Ed. 30, 14-17 septembrie 2023, Chişinău. Iași, România: 2023, Ediţia 30, p. 49. |
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Conference on Applied and Industrial Mathematics Ediţia 30, 2023 |
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Conferința "Conference on Applied and Industrial Mathematics" 30, Chişinău, Moldova, 14-17 septembrie 2023 | ||||||
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Pag. 49-49 | ||||||
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We study Rhaly operators on separable Hilbert spaces. Such operators are defined by terraced matrices, generated by a sequence of complex numbers. Some properties of the defining sequence, imply boundedness or compactness of Rhaly operators. We may call such properties - regularity properties. We prove that perturbations of the defining sequence, namely replacing just one subsequence, may preserve boundedness or compactness, only if the subsequence is rare. |
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