Annales Mathématiques
Blaise Pascal
no. 1
The Mackey-Arens and Hahn-Banach theorems for spaces over valued fields
Annales mathématiques Blaise Pascal, Tome 2 (1995) no. 1, pp. 147-153. 
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     author = {Jerzy K\k{a}kol},
     title = {The {Mackey-Arens} and {Hahn-Banach} theorems for spaces over valued fields},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {147--153},
     publisher = {Laboratoires de Math\'ematiques Pures et Appliqu\'ees de l'Universit\'e Blaise Pascal},
     volume = {2},
     number = {1},
     year = {1995},
     zbl = {0832.46069},
     mrnumber = {1342811},
     language = {en},
     url = {https://ambp.centre-mersenne.org/item/AMBP_1995__2_1_147_0/}
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Jerzy Kąkol. The Mackey-Arens and Hahn-Banach theorems for spaces over valued fields. Annales mathématiques Blaise Pascal, Tome 2 (1995) no. 1, pp. 147-153. https://ambp.centre-mersenne.org/item/AMBP_1995__2_1_147_0/

[1] Dierolf S.. A note on lifting of linear and locally convex topologies on a quotient space Collectanea Math. vol 31 1980 p 193-198 | MR | Zbl

[2] De Grande-De Kimpe N. and Perez-Garcia C. Weakly closed subspaces and the Hahn-Banach extension property in p-adic analysis Indag. Math. vol 50 1988 p 253-261 | MR | Zbl

[3] Ingleton W. The Hahn-Banach Theorem for non-archimedean valued fields Proc. Cambridge Phil. Soc. vol 48 1952 p 41-45 | MR | Zbl

[4] Kąkol J. The Mackey-Arens theorem for non-locally convex spaces Collectanea Math. vol 41 1990 p 129-132 | MR | Zbl

[5] Kąkol Remarks on spherical completeness of non-archimedean valued fields Indag. Math. | MR | Zbl

[6] Kąkol J. The weak basis theorem for K-Banach spaces Bull. Soc. Belg. vol 45 1993 p 1-4 | MR | Zbl

[7] Kąkol J. The Mackey-Arens property for spaces over valued fields Bull. Acad. Polon Sci. to appear | Zbl

[8] Martinez-Maurica J. and Perez-Garcia C. The Hahn-Banach extension property in a class of normed spaces Quaestiones Math. vol 8 1986 p 335-341 | MR | Zbl

[9] Martinez-Maurica J. and Perez-Garcia C. The three-space problem for a class of normed spaces Bull. Math. Soc. Belg. vol 39 1987 p 209-214 | MR | Zbl

[10] Monna A.F. Analyse non-archimedienne Lecture Notes in Math. 1970 Springer Berlin | MR | Zbl

[11] Prolla J.B. Topics in Functional Analysis over valued Division Rings Math.Studies 1982 Amsterdam North-Holland | MR | Zbl

[12] Van Rooij A.C.M. Non-Archimedean Functional Analysis Marcel Dekker 1978 New York | Zbl

[13] Schikhof W.H. Locally convex spaces over non-spherically complete valued fields Bull. Soc. Math. Belg. vol 38 1986 p 187-224 | MR | Zbl

[14] Van Tiel I. Espaces localement K-convexes Indag. Math vol 27 1965 p 249-289 | MR | Zbl