On the axiomatic theory of spectrum II

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1. [1] C. Apostol, The reduced minimum modulus, Michigan Math. J. 32(1985), 279-294. 
2. [2] M. Berkani et A. Ouahab, Théorème de l'application spectrale pour le spectre essentiel quasi-Fredholm, Proc. Amer. Math. Soc., to appear. 
3. [3] J. J. Buoni, R. Harte and T. Wickstead, Upper and lower Fredholm spectra, ibid. 66 (1977), 301-314. Zbl0375.47001
4. [4] K. H. Förster and G.-O. Liebentrau, Semi-Fredholm operators and sequence conditions, Manuscripta Math. 44 (1983), 35-44. 
5. [5] M. A. Gol'dman and S. N. Krachkovskiĭ, On the stability of some properties of a closed linear operator, Dokl. Akad. Nauk SSSR 209 (1973), 769-772 (in Russian); English transl.: Soviet Math. Dokl. 14 (1973), 502-505. 
6. [6] S. Grabiner, Ascent, descent and compact perturbations, Proc. Amer. Math. Soc. 71 (1978), 79-80. Zbl0392.47002
7. [7] S. Grabiner, Uniform ascent and descent of bounded operators, J. Math. Soc. Japan 34 (1982), 317-337. Zbl0477.47013
8. [8] B. Gramsch and D. Lay, Spectral mapping theorems for essential spectra, Math. Ann. 192 (1971),17-32. Zbl0203.45601
9. [9] R. Harte, Spectral mapping theorems, Proc. Roy. Irish Acad. Sect. A 72 (1972), 89-107. Zbl0206.13301
10. [10] M. A. Kaashoek, Stability theorems for closed linear operators, Indag. Math. 27 (1965), 452-466. Zbl0138.07601
11. [11] T. Kato, Perturbation theory for nullity, deficiency and other quantities of linear operators, J. Anal. Math. 6 (1958), 261-322. Zbl0090.09003
12. [12] T. Kato, Perturbation Theory for Linear Operators, Springer, Berlin, 1966. Zbl0148.12601
13. [13] V. Kordula, The essential Apostol spectrum and finite-dimensional perturbations, to appear. Zbl0880.47005
14. [14] V. Kordula and V. Müller, The distance from the Apostol spectrum, Proc. Amer. Math, Soc., to appear. Zbl0861.47008
15. [15] V. Kordula and V. Müller, On the axiomatic theory of spectrum, this issue, 109-128. Zbl0857.47001
16. [16] J. P. Labrousse, Les opérateurs quasi-Fredholm : une généralisation des opérateurs semi-Fredholm, y Rend. Circ. Mat. Palermo 29 (1980), 161-258. Zbl0474.47008
17. [17] M. Mbekhta, Résolvant généralisé et théorie spectrale, J. Operator Theory 21 (1989), 69-105. Zbl0694.47002
18. [18] M. Mbekhta et A. Ouahab, Opérateur semi-régulier dans un espace de Banach et théorie spectrale, Acta Sci. Math. (Szeged), to appear. Zbl0742.47001
19. [19] M. Mbekhta et A. Ouahab, Contribution à la théorie spectrale généralisée dans les espaces de Banach, C. R. Acad. Sci. Paris 313 (1991), 833-836. Zbl0742.47001
20. [20] V. Müller, On the regular spectrum, J. Operator Theory 31 (1994), 363-380. Zbl0845.47005
21. [21] V. Rakočevič, Generalized spectrum and commuting compact perturbations, Proc. Edinburgh Math. Soc. 36 (1993), 197-208. Zbl0794.47003
22. [22] B. N. Sadovskiĭ, Limit compact and condensing operators, Russian Math. Surveys 27 (1972), 85-155. Zbl0243.47033
23. [23] P. Saphar, Contributions à l'étude des applications linéaires dans un espace de Banach, Bull. Soc. Math. France 92 (1964), 363-384. Zbl0139.08502
24. [24] C. Schmoeger, Ein Spektralabbildungssatz, Arch. Math. (Basel) 55 (1990), 484-489. Zbl0721.47005
25. [25] Z. Słodkowski and W. Żelazko, On joint spectra of commuting families of operators, Studia Math. 50 (1974), 127-148. Zbl0306.47014
26. [26] A. E. Taylor, Theorems on ascent, descent, nullity and defect of linear operators, Math. Ann. 163 (1966), 18-49. Zbl0138.07602

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