Pseudospectra and condition pseudospectra of multivalued linear operators on non-Archimedean Banach spaces
*J. EttaybCorresponding authorjawad.ettayb@gmail.comHamman Al-Fatawaki Collegiate High SchoolProvincial Directorate of National Education of BerrechidRegional Academy of Education and Training Casablanca-SettatHad Soualem, MoroccoView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 10 Oct 2023
- Published Online:
- 19 Aug 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1900
- Pages:
- 2439–2457
Abstract
Keywords
Subject Classifications
References
[1] F. Abdmouleh, T. Alvarez, and A. Jeribi, “On a characterization of the essential spectra,” Filomat, vol. 36, no. 9, pp. 2921-2938 (2022).
[2] A. Ammar and A. Jeribi, Spectral Theory of Multivalued Linear Operators, Boca Raton, FL: CRC Press (2021).
[3] R. Arens, “Operational calculus of linear relations,” Pacific J. Math., vol. 11, pp. 9-23 (1961).
[4] Z. A. Atiya, N. M. J. Ibrahem, and N. R. Adeeb, “On S-acts and bounded linear operators,” Journal of Interdisciplinary Mathematics, vol. 26, no. 7, pp. 1493-1498 (2023).
[5] R. W. Cross, Multivalued Linear Operators, New York: Marcel Dekker (1998).
[6] T. Diagana and F. Ramaroson, Non-Archimedean Operators Theory, Springer (2016).
[7] J. Ettayb, “Condition pseudospectra of multivalued linear operator pencils on non-Archimedean Banach spaces,” Rend. Circ. Mat. Palermo (2), pp. 1-11 (2024).
[8] K. S. Nadathur, Linear Operators between Nonarchimedean Banach Spaces, Dissertations, Western Michigan University (1973).
[9] N. Sookoo, “F-normed spaces and linear operators,” Journal of Interdisciplinary Mathematics, vol. 24, no. 4, pp. 911-919 (2021).
[10] A. C. M. van Rooij, Non-Archimedean Functional Analysis, Monographs and Textbooks in Pure and Applied Math., vol. 51, New York: Marcel Dekker, Inc. (1978).
[11] J. von Neumann, “Über adjungierte Funktional-operatoren,” Ann. of Math., vol. 33, pp. 294-310, 1932. Reprinted in 2012.
[12] D. Wilcox, Multivalued Semi-Fredholm Operators in Normed Linear Spaces, Ph.D. thesis, University of Cape Town (2002).




