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Semigroups of operators and measures of noncompactness. (English) Zbl 0209.45002

MSC:
47A53 (Semi-) Fredholm operators; index theories
47D03 Groups and semigroups of linear operators
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[1] Yood, Bertram, Properties of linear transformations preserved under addition of a completely continuous transformation, Duke math. J., 18, 599-612, (1951) · Zbl 0043.11901
[2] Ruston, A.F, Operators with a Fredholm theory, J. London math. soc., 29, 318-326, (1954) · Zbl 0055.10902
[3] Gokhberg, I.Ts; Krein, M.G, Fundamental aspects of defect numbers, root numbers and indices of linear operators, Usp. mat. nauk, 12, 43-118, (1957) · Zbl 0088.32101
[4] Schechter, Martin, Riesz operators and Fredholm perturbations, Bull. amer. math. soc., 64, 1139-1144, (1968) · Zbl 0167.13301
[5] Grothendieck, Alexandre, Produits tensoriels topologiques et espaces nucléaires, Mem. amer. math. soc., No. 16, (1955) · Zbl 0064.35501
[6] Kuratowski, Casmir, Sur LES espaces complets, Fund. math., 15, 301-309, (1930) · JFM 56.1124.04
[7] Darbo, G, Punti uniti in transformazioni a condiminio non compatto, (), 84-92 · Zbl 0064.35704
[8] Goldenstein, L.S; Gokhberg, I.Ts; Markus, A.S, Investigation of some properties of bounded linear operators in connection with their q-norms, Uch. zap. kishinev. GoS. univ., 29, 29-36, (1957)
[9] Goldenstein, L.S; Markus, A.S, On a measure of non-compactness of bounded sets and linear operators, (), 45-54
[10] Rickart, C.E, General theory of Banach algebras, (1960), Van Nostrand Princeton, N. J · Zbl 0084.33502
[11] Bonsall, Frank F, Compact linear operators, () · Zbl 0144.38602
[12] Wolf, Frantisek, On the essential spectrum of partial differential boundary problems, Commun. pure appl. math., 12, 211-228, (1959) · Zbl 0087.30501
[13] {\scErik Balslev and C. F. Schubert}, Essential spectrum and singular sequences,
[14] {\scK. Gustafson and J. Weidmann}, On the essential spectrum, · Zbl 0189.44104
[15] Schechter, Martin, On perturbations of essential spectra, J. London math. soc. (2), 1, 343-347, (1969) · Zbl 0192.47403
[16] Kato, Tosia, Perturbation theory for linear operators, (1966), Springer Berlin
[17] Browder, F.E, On the spectral theory of elliptic differential operators I, Math. ann., 142, 22-130, (1961) · Zbl 0104.07502
[18] Pelczynski, A, Projections in certain Banach spaces, Stud. math., 19, 209-228, (1960) · Zbl 0104.08503
[19] Whitley, R.J, Strictly singular operators and their conjugates, Trans. amer. math. soc., 113, 252-261, (1964) · Zbl 0124.06603
[20] Gramsch, B, Über analytische störungen und den index von Fredholm-operatoren auf banachraumen, (1969), Department of Mathematics, University of Maryland
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