Some description of essential structured approximate and defect pseudospectrum
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
In this paper, we introduce and study the structured essential approximate and defect pseudospectrum of closed, densely defined linear operators in a Banach space. Beside that, we discuss some results of stability and some properties of these essential pseudospectra. Finally, we will apply the results described above to investigate the essential approximate and defect pseudospectra of the following integro-differential transport operator.
Abstract
In this paper, we introduce and study the structured essential approximate and defect pseudospectrum of closed, densely defined linear operators in a Banach space. Beside that, we discuss some results of stability and some properties of these essential pseudospectra. Finally, we will apply the results described above to investigate the essential approximate and defect pseudospectra of the following integro-differential transport operator.
참고문헌 (15)
- A. Ammar, "A characterization of the essential pseudospectra and application to a transport equation", Extra Math, 28, pp.95~112 (2013)
- A. Ammar, "A characterization of the essential approximation pseudospectrum on a Banach space", Filomath, 31(11), pp.3599~3610 (2017)
- A. Ammar, "Global Bifurcation from the real leading eigenvalue of the transport operator", Journal of Computational and Theoretical Transport, 46, pp.229~241 (2017)
- E. B. Davies, "Linear Operators and their spectra, Cambridge Studies in Advanced Mathematics, 106" (2007), Camb. Univ. Press
- A. Jeribi, "Time asymptotic behavior for unbounded linear operator arising in growing cell populations", Nonli. Anal. Real World Appl, 4, pp.667~688 (2003)
- A. Jeribi, "Fredholm operators and essential spectra", Arch. Ineq. Appl, 358, pp.123~140 (2004)
- A. Jeribi, "Spectral theory and applications of linear operators and block operator matrices" (2015), Springer-Verlag
- A. Jeribi, "A characterization of some subsets of Schechter’s essential spectrum and application to singular transport equation", J. Math. Anal. Appl, 358, pp.434~444 (2009)
- V. Muller, "Spectral theory of linear operators and spectral system in Banach algebras", Oper. Theor. Adv. Appl, 139 (2003)
- M. Schechter, "Principles of functional analysis", Graduate Studies in Mathematics, American Mathematical Society, 36 (2002)
- M. Schechter, "Spectra of partial differential operators" (1986)
- L. N. Trefethen, "Pseudospectra of matrices. numerical analysis, In Pitman Research notes in Mathematics Series", Longman Science and Technology, Harlow, 260, pp.234~266 (1992)
- L. N. Trefethen, "Pseudospectra of linear operators", SAIM rev., 39(3), pp.383~406 (1997)
- M. P. H. Wolff, "Discrete approximation of unbounded operators and approximation of their spectra", J. Approx. Theo, 113, pp.229~244 (2001)
- E. Shargorodsky, "On the definition of pseudospectra", Bull. London Math. Soc., 41, pp.524~534 (2009)