On some subsets of Schechter's essential spectrum of a matrix operator and application to transport operator

Naouel Ben Ali Aref Jeribi; Naouel Ben Ali Aref Jeribi

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On some subsets of Schechter's essential spectrum of a matrix operator and application to transport operator

机译：关于矩阵运算符的Schechter基本谱的某些子集及其在传输运算符中的应用

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This paper is devoted to the investigation of the essential approximate point spectrum and the essential defect spectrum of a 2 × 2 block operator matrix on a product of Banach spaces. The obtained results are applied to a two-group transport operators with general boundary conditions in the Banach space L_p ([–a, a ] × [–1, 1]) × L_p ([–a, a ] × [–1, 1]), a 0, p ≥ 1 (© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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《Mathematische Nachrichten》 |2010年第9期|p.1245-1256|共12页
作者
Naouel Ben Ali Aref Jeribi; Naouel Ben Ali Aref Jeribi;
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正文语种 eng
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Essential approximate point spectrum; essential defect spectrum; Fredholm perturbation; semiFredholm perturbation;

机译：本质近似点谱;基本缺陷谱;弗雷德霍姆摄动;半弗雷德霍姆摄动;

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专利

1. On some subsets of Schechter's essential spectrum of a matrix operator and application to transport operator [J] . Naouel Ben Ali, Aref Jeribi, Nedra Moalla Mathematische Nachrichten . 2010,第9期

机译：关于矩阵运算符的Schechter基本谱的某些子集及其在传输运算符中的应用
2. Measure of weak noncompactness, some new properties in Fredholm theory, characterization of the Schechter essential spectrum and application to transport operators [J] . Boulbeba Abdelmoumen, Aref Jeribi, Maher Mnif Ricerche di Matematica . 2012,第2期

机译：弱非紧致性的度量，Fredholm理论中的一些新性质，Schechter基本谱的表征及其在运输运营商中的应用
3. Gustafson, weidman, kato, wolf, schechter, browder, Rakočević and Schmoeger essential spectra of the sum of two bounded operators and application to a transport operator [J] . Faiçal Abdmouleh Aref Jeribi Mathematische Nachrichten . 2011,第3期

机译：Gustafson，Weidman，kato，wolf，schechter，browder，Rakočević和Schmoeger两个有界算子之和的基本谱以及对运输算子的应用
4. When do quasi-similar operators have the same essential spectrum [C] . T. L Miller, V. G. Miller, M. M. Neumann Conference on Function Spaces . 2007

机译：当准类似的运算符时具有相同的基本频谱
5. The essential norm and spectrum of composition operators on space of bounded analytic functions [D] . Zheng, Lixin 2000

机译：有界解析函数空间上合成算子的基本范数和谱
6. General transfer matrix formalism to calculate DNA–protein–drug binding in gene regulation: application to OR operator of phage λ [O] . Vladimir B. Teif 2007

机译：在基因调控中计算DNA-蛋白质-药物结合的一般转移矩阵形式：对噬菌体λ的OR操纵子的应用
7. A characterization of some subsets of Schechter's essential spectrum and application to singular transport equation [O] . Jeribi Aref, Moalla Nedra 2009

机译：Schechter基本谱的某些子集的表征及其在奇异传输方程中的应用
8. Mathematical Studies: Pseudo-Differential Operators; Non-Coercive Boundary Value Problems; Fredholm Operators and the Essential Spectrum; the Limiting Amplitude Principal; and Transonic Flow [R] . Nirenberg, L. 1965

机译：数学研究：伪微分算子;非强制性边值问题; Fredholm算子和基本谱;限制幅度主体;和跨音速流动

On some subsets of Schechter's essential spectrum of a matrix operator and application to transport operator

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