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Über assoziierte lineare und lokalkonvexe Topologien. (German) Zbl 0317.46005


MSC:

46A19 Other “topological” linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than \(\mathbb{R}\), etc.)
46M15 Categories, functors in functional analysis
54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
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References:

[1] ADASCH, N.: Über lokaltopologische Vektorräume. Proceedings of the Symposium on Functional Analysis. 51-56, Istambul, Silivri (1973). · Zbl 0295.46010
[2] BOURBAKI, N.: Espaces Vectoriels Topologiques. Chap. I?V, Paris: Hermann 1966.
[3] BUCHWALTER, H.: Topologies et Compactologies. Publ. Dép. Math. Lyon6-2, 1-74 (1969). · Zbl 0205.41601
[4] DAZORD, J., JOURLIN, M.: Sur quelques classes d’espaces localement convexes. Publ. Dép. Math. Lyon8-2, 39-69 (1971). · Zbl 0257.46001
[5] DE WILDE, M.: Vector Topologies and Linear Maps on Products of Topological Vector Spaces. Math. Ann.196, 117-128 (1972). · Zbl 0226.46017
[6] DE WILDE, M., HOUET, C.: On increasing sequences of absolutely convex sets in locally convex spaces. Math. Ann.192, 257-261 (1971). · Zbl 0212.14101
[7] DIEROLF, S.: Vererbbarkeitseigenschaften in topologischen Vektorräumen. Dissertation München 1974.
[8] IYAHEN, S.O.: On certain classes of linear topological spaces. Proc. London Math. Soc.18, 285-307 (1968). · Zbl 0165.14203
[9] IYAHEN, S.O.: On certain classes of linear topological spaces II. J. London Math. Soc3, 609-617 (1971). · Zbl 0215.19402
[10] KÖHN, J.: Induktive Limiten nicht lokalkonvexer topologischer Vektorräume. Math. Ann.181, 269-278 (1969). · Zbl 0174.16903
[11] KÖTHE, G.: Topological Vector Spaces I. Berlin-Heidelberg-New York: Springer-Verlag 1969. · Zbl 0179.17001
[12] K?MURA, Y.: On linear topological spaces. Kumamoto J. of Science5, 148-157 (1962).
[13] PORTA, H.: Compactly determined locally convex topologies. Math. Ann.196, 91-100 (1972). · Zbl 0261.46065
[14] ROBERTSON, W.: Completions of topological vector spaces. Proc. London Math. Soc.8, 242-257 (1958). · Zbl 0081.32604
[15] SWART, J.: Zur Theorie der Schwartz-Räume. Dissertation, ETH Zürich 1973.
[16] VALDIVIA, M.: Absolutely convex sets in barrelled spaces. Ann. Inst. Fourier Grenoble21, 3-13 (1971). · Zbl 0205.40904
[17] VALDIVIA, M.: Some new results on bornological barrelled spaces. Proceedings of the Symposium on Functional Analysis, 85-90, Istambul, Silivri (1973).
[18] VALDIVIA, M.: Quotients of complete locally convex spaces. Manuscripta math.14, 235-240 (1974). · Zbl 0293.46003
[19] WAELBROECK, L.: Topological Vector Spaces and Algebras. Lecture Notes in Mathematics, Berlin-Heidelberg-New-York: Springer-Verlag 1971. · Zbl 0225.46001
[20] WILBUR, W.J.: Reflective and Coreflective Hulls in the Category of Locally Convex Spaces. Gen. Top. and its Appl.4, 235-254 (1974). · Zbl 0299.46063
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