The aim of this paper is to provide new results on the Wolf and Schechter essential pseudospectra of bounded linear operators on a Banach space. More precisely, we characterize the Wolf and Schechter essential pseudospectra by using the notion of Fredholm perturbation. Also, we state the condition under which the Wolf (respectively, Schechter) essential pseudospectrum of two different bounded linear operators coincides. Furthermore, we give some characterizations of the Wolf and Schechter essential pseudospectra of $ 3\times 3 $ upper triangular block operator matrices.
Citation: Sara Smail, Chafika Belabbaci. A characterization of Wolf and Schechter essential pseudospectra[J]. AIMS Mathematics, 2024, 9(7): 17146-17153. doi: 10.3934/math.2024832
The aim of this paper is to provide new results on the Wolf and Schechter essential pseudospectra of bounded linear operators on a Banach space. More precisely, we characterize the Wolf and Schechter essential pseudospectra by using the notion of Fredholm perturbation. Also, we state the condition under which the Wolf (respectively, Schechter) essential pseudospectrum of two different bounded linear operators coincides. Furthermore, we give some characterizations of the Wolf and Schechter essential pseudospectra of $ 3\times 3 $ upper triangular block operator matrices.
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Sara Smail, Chafika Belabbaci. A characterization of Wolf and Schechter essential pseudospectra[J]. AIMS Mathematics, 2024, 9(7): 17146-17153. doi: 10.3934/math.2024832
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