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01243nam a2200193Ia 4500 |
| 001 |
10.3390-math10132237 |
| 008 |
220718s2022 CNT 000 0 und d |
| 020 |
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|a 22277390 (ISSN)
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| 245 |
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|a Natural Lacunae Method and Schatten–Von Neumann Classes of the Convergence Exponent
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| 260 |
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|b MDPI
|c 2022
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| 856 |
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|z View Fulltext in Publisher
|u https://doi.org/10.3390/math10132237
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|a Our first aim is to clarify the results obtained by Lidskii devoted to the decomposition on the root vector system of the non-selfadjoint operator. We use a technique of the entire function theory and introduce a so-called Schatten–von Neumann class of the convergence exponent. Considering strictly accretive operators satisfying special conditions formulated in terms of the norm, we construct a sequence of contours of the power type that contrasts the results by Lidskii, where a sequence of contours of the exponential type was used. © 2022 by the author. Licensee MDPI, Basel, Switzerland.
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|a Abel–Lidskii basis property
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|a convergence exponent
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|a counting function
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|a Schatten–von Neumann class
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|a strictly accretive operator
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|a Kukushkin, M.V.
|e author
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| 773 |
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|t Mathematics
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