The condition pseudospectrum subset and related results

Ammar, Aymen; Jeribi, Aref; Mahfoudhi, Kamel

doi:10.1007/s11868-018-0265-9

Cited by 13 publications

(2 citation statements)

References 10 publications

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“…Also, for the benefit of the reader we review an important result about pseudospectrum from [7][8][9][10] and [11,12]. After compressing or depressing them, certain parts of pseudospectrum of an linear relations acting between Banach space may be distinguished.…”

Section: Introductionmentioning

confidence: 99%

Essential Approximate Pseudospectra of Multivalued Linear Relations

JERIBI,

MAHFOUDHI

2024

KgJMat

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One of the fundamental ideas investigated in A. Ammar, A. Jeribi and K. Mahfoudhi in [?] is that of providing conditions under which the essential approximate pseudospectrum of closed, densely deﬁned linear operators have a relationship with Fredholm theory and perturbation theory. In this paper the approximate pseudospectrum and the essential approximate pseudospectrum of closed, densely deﬁned multivalued linear relations are introduced and studied, and work done in the aforementioned papers are extended to general multivalued linear relations

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Section: Introductionmentioning

confidence: 99%

Essential Approximate Pseudospectra of Multivalued Linear Relations

JERIBI,

MAHFOUDHI

2024

KgJMat

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“…In this paper, we interest by a generalization of eigenvalues called generalized trace pseudo-spectrum for an element in the matrix algebra to give more information about the matrix pencils of the form λV −U. For more information on various details on the above concepts, properties and applications of pseudo-spectrum [2,3,6,7,9], condition spectrum [1,4,5] and determinant spectrum [8]. Now, we introduce the new concept of the generalized trace pseudo-spectrum in the following definition.…”

Section: Introductionmentioning

confidence: 99%

Generalized trace pseudo-spectrum of matrix pencils

Ammar

Jeribi

Mahfoudhi

2019

Cubo

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The objective of the study was to investigate a new notion of generalized trace pseudospectrum for an matrix pencils. In particular, we prove many new interesting properties of the generalized trace pseudo-spectrum. In addition, we show an analogue of the spectral mapping theorem for the generalized trace pseudo-spectrum in the matrix algebra. RESUMEN El objetivo de este estudio es investigar una nueva noción de pseudo-espectro traza generalizado para pinceles de matrices. En particular, demostramos variadas propiedades nuevas e interesantes del pseudo-espectro traza generalizado. Adicionalmente, mostramos un análogo del teorema espectral de aplicaciones para el pseudo-espectro traza generalizado en elálgebra de matrices.

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