References
Allan, G.R.: Holomorphic vector-valued functions on a domain of holomorphy. J. London Math. Soc.42, 509–513 (1967)
Arens, R.: Dense inverse limit rings. Michigan Math. J.5, 169–182 (1958)
Bart, H.: Meromorphic operator valued functions. Ph. D. Thesis, Vrije Universiteit, Amsterdam, 1973 (= Mathematical Centre Tracts 44)
Bonic, R.A.: Linear functional analysis. New York: Gordon and Breach 1969
Förster, K.-H., Garske, G.: Holomorphie einseitiger Inverser von holomorphen Funktionen mit Werten in einer Banachparaalgebra. Private communication (1972)
Gohberg, I.C., Krein, M.G.: Introduction to the theory of linear nonselfadjoint operators. Providence: Am. Math. Soc. 1969
Goldberg, S.: Unbounded linear operators. New York: McGraw-Hill 1966
Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966
Markus, A.S.: On holomorphic operator-functions. Dokl. Akad. Nauk SSSR119, 1099–1102 (1958) [Russian]
Palais, R.S.: Seminar on the Atiyah-Singer index theorem. Princeton: Princeton University Press 1965
Przeworska-Rolewicz, D., Rolewicz, S.: Equations in linear spaces. Warszawa: Polska Akademia Nauk 1968. Monografie Matematyczne
Saphar, P.: Contribution à l'étude des applications linéaires dans un espace de Banach. Bull. Soc. Math. France92, 363–384 (1964)
Saphar, P.: Sur les applications linéaires dans un espace de Banach. II. Ann. Sci. École Norm. Sup. (3)82, 205–240 (1965)
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Bart, H. Holomorphic relative inverses of operator valued functions. Math. Ann. 208, 179–194 (1974). https://doi.org/10.1007/BF01419579
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DOI: https://doi.org/10.1007/BF01419579