References
- F. Abdmouleh, T. lvarez, A. Ammar, and A. Jeribi, Spectral mapping theorem for Rakocevic and Schmoeger essential spectra of a multivalued linear operator, Mediterr. J. Math. 12 (2015), no. 3, 1019-1031. https://doi.org/10.1007/s00009-014-0437-7
- T. Alvarez, A. Ammar, and A. Jeribi, On the essential spectra of some matrix of linear relations, Math. Methods Appl. Sci. 37 (2014), no. 5, 620-644. https://doi.org/10.1002/mma.2818
- A. Ammar, A characterization of some subsets of essential spectra of a multivalued linear operator, Complex Anal. Oper. Theory 11 (2017), no. 1, 175-196. https://doi.org/10.1007/s11785-016-0591-y
- A. Ammar, Some results on semi-Fredholm perturbations of multivalued linear operators, Linear Multilinear Algebra 66 (2018), no. 7, 1311-1332. https://doi.org/10.1080/03081087.2017.1351517
- A. Ammar, H. Daoud, and A. Jeribi, Demicompact and k-D-set-contractive multivalued linear operators, Mediterr. J. Math. 15 (2018), no. 2, Art. 41, 18 pp. https://doi.org/10.1007/s00009-018-1078-z
- A. Ammar, S. Fakhfakh, and A. Jeribi, Stability of the essential spectrum of the diagonally and off-diagonally dominant block matrix linear relations, J. Pseudo-Differ. Oper. Appl. 7 (2016), no. 4, 493-509. https://doi.org/10.1007/s11868-016-0154-z
- A. Ammar, S. Fakhfakh, and A. Jeribi, Demicompact of Fredholm's theory and block matrix of linear relations, Preprint, 2018.
- W. Chaker, A. Jeribi, and B. Krichen, Demicompact linear operators, essential spectrum and some perturbation results, Math. Nachr. 288 (2015), no. 13, 1476-1486. https://doi.org/10.1002/mana.201200007
- E. A. Coddington and A. Dijksma, Self-adjoint subspaces and eigenfunction expansions for ordinary differential subspaces, J. Differential Equations 20 (1976), no. 2, 473-526. https://doi.org/10.1016/0022-0396(76)90119-4
- R. Cross, Multivalued Linear Operators, Monographs and Textbooks in Pure and Applied Mathematics, 213, Marcel Dekker, Inc., New York, 1998.
- A. Favini and A. Yagi, Multivalued linear operators and degenerate evolution equations, Ann. Mat. Pura Appl. (4) 163 (1993), no. 1, 353-384. https://doi.org/10.1007/BF01759029
- L. Gorniewicz, Topological fixed point theory of multivalued mappings, Mathematics and its Applications, 495, Kluwer Academic Publishers, Dordrecht, 1999. https://doi.org/10.1007/978-94-015-9195-9
- M. Gromov, Partial differential relations, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), 9, Springer-Verlag, Berlin, 1986. https://doi.org/10.1007/978-3-662-02267-2
- A. Jeribi, Spectral Theory and Applications of Linear operator and Block Operator Matrices, Springer, Cham, 2015. https://doi.org/10.1007/978-3-319-17566-9
- B. Krichen, Relative essential spectra involving relative demicompact unbounded linear operators, Acta Math. Sci. Ser. B (Engl. Ed.) 34 (2014), no. 2, 546-556. https://doi.org/10.1016/S0252-9602(14)60027-8
- W. V. Petryshyn, Remarks on condensing and k-set-contractive mappings, J. Math. Anal. Appl. 39 (1972), 717-741. https://doi.org/10.1016/0022-247X(72)90194-1
- J. von Neumann, Functional Operators. II. The Geometry of Orthogonal Spaces, Annals of Mathematics Studies, no. 22, Princeton University Press, Princeton, NJ, 1950.