Varieties of locally convex topological vector spaces
HTML articles powered by AMS MathViewer
- by Joseph Diestel, Sidney A. Morris and Stephen A. Saxon PDF
- Bull. Amer. Math. Soc. 77 (1971), 799-803
References
-
1. S. Banach, Théorie des opérations linéaires, Monografie Mat., PWN, Warsaw, 1932.
- C. Bessaga and A. Pełczyński, On bases and unconditional convergence of series in Banach spaces, Studia Math. 17 (1958), 151–164. MR 115069, DOI 10.4064/sm-17-2-151-164
- M. S. Brooks, Sidney A. Morris, and Stephen A. Saxon, Generating varieties of topological groups, Proc. Edinburgh Math. Soc. (2) 18 (1972/73), 191–197. MR 318383, DOI 10.1017/S0013091500009913
- Paul Civin and Bertram Yood, Quasi-reflexive spaces, Proc. Amer. Math. Soc. 8 (1957), 906–911. MR 90020, DOI 10.1090/S0002-9939-1957-0090020-6
- J. Diestel, Sidney A. Morris, and Stephen A. Saxon, Varieties of linear topological spaces, Trans. Amer. Math. Soc. 172 (1972), 207–230. MR 316992, DOI 10.1090/S0002-9947-1972-0316992-2
- A. Grothendieck, Sur les applications linéaires faiblement compactes d’espaces du type $C(K)$, Canad. J. Math. 5 (1953), 129–173 (French). MR 58866, DOI 10.4153/cjm-1953-017-4
- Alexandre Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16 (1955), Chapter 1: 196 pp.; Chapter 2: 140 (French). MR 75539
- John Horváth, Topological vector spaces and distributions. Vol. I, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1966. MR 0205028
- Takako K\B{o}mura and Yukio K\B{o}mura, Über die Einbettung der nuklearen Räume in $(s)^{A}$, Math. Ann. 162 (1965/66), 284–288 (German). MR 188754, DOI 10.1007/BF01360917
- Elton Lacey and R. J. Whitley, Conditions under which all the bounded linear maps are compact, Math. Ann. 158 (1965), 1–5. MR 173159, DOI 10.1007/BF01370391
- J. Lindenstrauss and A. Pełczyński, Absolutely summing operators in $L_{p}$-spaces and their applications, Studia Math. 29 (1968), 275–326. MR 231188, DOI 10.4064/sm-29-3-275-326
- Robert H. Lohman, An embedding theorem for separable locally convex spaces, Canad. Math. Bull. 14 (1971), 114–120. MR 291756, DOI 10.4153/CMB-1971-023-1
- A. A. Miljutin, Isomorphism of the spaces of continuous functions over compact sets of the cardinality of the continuum, Teor. Funkciĭ Funkcional. Anal. i Priložen. Vyp. 2 (1966), 150–156. (1 foldout) (Russian). MR 0206695
- Sidney A. Morris, Varieties of topological groups, Bull. Austral. Math. Soc. 1 (1969), 145–160. MR 259010, DOI 10.1017/S0004972700041393
- Sidney A. Morris, Varieties of topological groups, Bull. Austral. Math. Soc. 1 (1969), 145–160. MR 259010, DOI 10.1017/S0004972700041393
- Sidney A. Morris, Varieties of topological groups, Bull. Austral. Math. Soc. 1 (1969), 145–160. MR 259010, DOI 10.1017/S0004972700041393
- Sidney A. Morris, Free products of topological groups, Bull. Austral. Math. Soc. 4 (1971), 17–29. MR 274647, DOI 10.1017/S0004972700046219
- Sidney A. Morris, Free products of topological groups, Bull. Austral. Math. Soc. 4 (1971), 17–29. MR 274647, DOI 10.1017/S0004972700046219
- Sidney A. Morris, Free compact abelian groups, Mat. Časopis Sloven. Akad. Vied 22 (1972), 141–147. MR 313448
- Sidney A. Morris, Varieties of topological groups, Bull. Austral. Math. Soc. 1 (1969), 145–160. MR 259010, DOI 10.1017/S0004972700041393
- Hanna Neumann, Varieties of groups, Springer-Verlag New York, Inc., New York, 1967. MR 0215899
- A. Pełczyński, On the isomorphism of the spaces $m$ and $M$, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 6 (1958), 695–696. MR 0102727
- A. Pełczyński and Z. Semadeni, Spaces of continuous functions. III. Spaces $C(\Omega )$ for $\Omega$ without perfect subsets, Studia Math. 18 (1959), 211–222. MR 107806, DOI 10.4064/sm-18-2-211-222
- Stephen A. Saxon, Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology, Math. Ann. 197 (1972), 87–106. MR 305010, DOI 10.1007/BF01419586
- Stephen A. Saxon, Embedding nuclear spaces in products of an arbitrary Banach space, Proc. Amer. Math. Soc. 34 (1972), 138–140. MR 318823, DOI 10.1090/S0002-9939-1972-0318823-9
- Helmut H. Schaefer, Topological vector spaces, The Macmillan Company, New York; Collier Macmillan Ltd., London, 1966. MR 0193469
- T. Terzioğlu, On Schwartz spaces, Math. Ann. 182 (1969), 236–242. MR 247417, DOI 10.1007/BF01350326
- A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 799-803
- MSC (1970): Primary 46A05; Secondary 46E10, 46E30, 46A45, 46M99
- DOI: https://doi.org/10.1090/S0002-9904-1971-12811-2
- MathSciNet review: 0282188