References
Adasch, N., Ernst, B., Keim, D.: Topological vector spaces. Lecture Notes Math., Vol. 639. Berlin Heidelberg New York: Springer 1978
Baker, J.W.: Operators with closed range. Math. Ann.174, 278–284 (1967)
Browder, F.E.: Functional analysis and partial differential equations, J. Math. Ann.138, 55–79 (1959)
Dieudonné, J., Schwartz, L.: La dualité dans les espaces (F) et (LF). Ann. Inst. Fourier1, 61–101 (1949)
Köthe, G.: General linear transformations of locally convex spaces. Math. Ann.159, 309–328 (1965)
Köthe, G.: Topological vector spaces, I. Berlin Heidelberg New York: Springer 1969
Köthe, G.: Topological vector spaces, II. Berlin Heidelberg New York: Springer 1979
Mennicken, R., Sagraloff, B.: Characterizations of nearly-openness. J. Reine Angew Math.313, 105–115 (1980)
Mochizuki, N.: On fully complete spaces. Tôhoku Math. J., II. Ser.,13, 485–490 (1961)
Pták, V.: Completeness and the open mapping theorem. Bull. Soc. Math. France86, 41–74 (1958)
Robertson, W.: Completions of topological vector spaces. Proc. London Math. Soc.8, 242–257 (1958)
Schaefer, H.H.: Topological vector spaces. Berlin Heidelberg New York: Springer 1986
Treves, F.: Locally convex spaces and linear partial differential equations. Berlin Heidelberg New York: Springer 1967
Treves, F.: Topological vector spaces. Distributions and kernels. New York: Academic Press 1967
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Rodrigues, B., Simons, S. The open mapping and closed range theorems. Math. Ann. 283, 87–95 (1989). https://doi.org/10.1007/BF01457503
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DOI: https://doi.org/10.1007/BF01457503