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Somewhat continuity on linear topological spaces implies continuity. (English) Zbl 0425.46001
##### MSC:
 46A30 Open mapping and closed graph theorems; completeness (including $$B$$-, $$B_r$$-completeness)
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##### References:
 [1] ARYA S. P., DEB M.: On mappings almost continuous in the sense of Frolik. Math. Stud. 41, 1974, 311-321. · Zbl 0341.54013 [2] BYCZKOWSKI T., POL R.: Closed Graph and Open Mapping Theorems. Bull. Acad. Polon. Sci., Sér. Sci. Math. Astronom. Phys., 24, 1976, 723-726. · Zbl 0336.54011 [3] FROLIK Z.: Remarks concerning the invariance of Baire spaces under mappings. Czechosl. Math. J. 11 (86), 1961,381-385. · Zbl 0104.17204 [4] GENTRY K. R., HOYLE, III. H. B.: Somewhat continuous functions. Czechosl. Math. J. 21 (96), 1971, 5-12. · Zbl 0222.54010 [5] KELLEY J. L., NAMIOKA I., co-authors: Linear topological spaces. Van Nostrand 1963. [6] KELLEY J. L.: General topology. Van Nostrand 1955. · Zbl 0066.16604 [7] NEUBRUNN T.: A note on mappings of Baire spaces. Math. slov. 27, 1977, 173-176. · Zbl 0371.54023 [8] RUDIN W.: Functional analysis. McGraw-Hill Book Company 1973. · Zbl 0253.46001 [9] TODD A. R.: Continuous linear images of pseudo-complete linear topological spaces. Pacific J. Math. 61, 1976, 281-292. · Zbl 0323.46006
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