Basic theory of Fredholm operators

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1. [1] F.V. Atkinson, The normal solubility of linear equations in normed spaces, Mat. Sb.(N. S.) 28 (70) (1951) 3-14. (Russian). Zbl0042.12001MR42059
2. [2] I.C. Gohberg, On linear equations in Hilbert space, Dokl. Akad. Nauk SSSR(N.S.) 76 (1951) 9-12. (Russian). MR42057
3. [3] I.C. Gohberg, On linear equations in normed spaces, ibid., 76 (1951) 477-480. (Russian). MR42058
4. [4] I.C. Gohberg, On linear operators depending analytically on a parameter, ibid., 78 (1951) 629-632. (Russian). MR42060
5. [5] Bertram Yood, Properties of linear transformations preserved under addition of a completely continuous transformation, Duke Math J.18 (1951) 599-612. Zbl0043.11901MR44020
6. [6] M.G. Kreĭn and M.A. Krasnoselski, Stability of the index of an unbounded operator, Mat. Sb.(N. S.) 30 [72] (1952) 219-224 (Russian). MR47255
7. [7] Bela Sz.-Nagy, On the Stability of the index of unbounded linear transformations, Acta. Math. Acad. Sic. Hungar.3 (1952) 49-52. Zbl0047.35901MR52038
8. [8] I.C. Gohberg, On the index of an unbounded operator, Mat. Sb.(N. S.) 33 (75) (1953) 193-198. (Russian). Zbl0052.34603MR57461
9. [9] I.C. Gohberg and M.G. Kreĭn, The basic propositions on defect numbers, root numbers and indices of linear operators, Uspeki Mat. Nauk.(N. S.) 12 (1957) 43-118. (Russian) Amer. Math. Soc. Transl., Series 2, 13 (1960) 185-264. Zbl0089.32201MR96978
10. [10] Tosio Kato, Perturbation theory for nullity, deficiency and other quantities of linear operators, J. D'Analyse Math., 6 (1958) 261-322. Zbl0090.09003MR107819
11. [11] A.E. Taylor, Introduction to functional analysis, J. Wiley & Sons, New York, 1958. Zbl0081.10202MR98966
12. [12] Philip Hartman and Aurel Wintner, On the essential spectra of singular eigenvalue problems, Amer. J. Math.72 (1950) 545-552. Zbl0054.03902MR35903
13. [13] Martin Schechter, On the essential spectrum of an arbitrary operator I, J. Math. Anal. Appl.13 (1966) 205-215. Zbl0147.12101MR188798
14. [14] Frantisek Wolf, On the essential spectrum of partial differential boundary problems, Comm. Pure Appl. Math., 12 (1959) 211-228. Zbl0087.30501MR107750
15. [15] F.E. Browder, On the spectral theory of elliptic differential operators I, Math. Ann.142 (1961) 22-130. Zbl0104.07502MR209909
16. [16] M.S. Birman, On the spectrum of singular boundary problems, Math. Sb.55 (2) 97 (1961) 125-174. Zbl0104.32601MR142896
17. [17] Frantisek Wolf, On the invariance of the essential spectrum under a change of boundary conditions of partial differential boundary operators, Indag. Math., 21 (1959) 142-315. Zbl0086.08203MR107751
18. [18] P.A. Rejto, On the essential spectrum of the hydrogen energy operator, Pacific J. Math., Zbl0144.17701
19. [19] Seymour Goldberg, Unbounded linear operators, MeGraw-Hill, New York, 1966. Zbl0925.47001
20. [20] S.G. Mikmlin, Multidimensional singular integrals and integral equations, Fizmatgiz, Moscow, 1962; Trans., Pergman Press, London1965. Zbl0129.07701MR185399