Locally convex spaces with the strong Gelfand–Phillips property

Albiac, F., Kalton, N.J.: Topics in Banach Space Theory. Graduate Texts in Mathematics, vol. 233. Springer, New York (2006)

Banakh, T., Gabriyelyan, S.: $$b$$-Feral locally convex spaces (Preprint)

Banakh, T., Gabriyelyan, S.: The Gelfand–Phillips property for locally convex spaces (Under review)

Banakh, T., Gabriyelyan, S.: The Josefson–Nissenzweig property for locally convex spaces. Filomat (accepted)

Banakh, T., Gabriyelyan, S.: Banach spaces with the (strong) Gelfand–Phillips property. Banach J. Math. Anal. 45, Paper No. 24, 14 pp (2022)

Banakh, T., Gabriyelyan, S., Protasov, I.: On uniformly discrete subsets in uniform spaces and topological groups. Mat. Stud. (1) 45, 76–97 (2016)

Bessaga, C., Pełczyński, A.: Spaces of continuous functions, IV. Stud. Math. 19, 53–62 (1960)

Bonet, J., Lindström, M., Valdivia, M.: Two theorems of Josefson–Nissenzweig type for Fréchet spaces. Proc. Am. Math. Soc. 117, 363–364 (1993)

Castillo, J.M.F., González, M., Papini, P.L.: On weak$$^\ast $$-extensible Banach spaces. Nonlinear Anal. 75, 4936–4941 (2012)

Corson, H.: The weak topology of a Banach space. Trans. Am. Math. Soc. 101, 1–15 (1961)

Dales, H.G., Dashiell, F.K., Jr., Lau, A.T.-M., Strauss, D.: Banach Spaces of Continuous Functions as Dual Spaces. Springer, Berlin (2016)

Drewnowski, L.: On Banach spaces with the Gelfand–Phillips property. Math. Z. 193, 405–411 (1986)

Drewnowski, L., Emmanuele, G.: On Banach spaces with the Gelfand–Phillips property, II. Rend. Circ. Mat. Palermo 38, 377–391 (1989)

Edgar, G.A., Wheeler, R.F.: Topological properties of Banach spaces. Pac. J. Math. 115, 317–350 (1984)

Engleking, R.: General Topology. Heldermann Verlag, Berlin (1989)

Fabian, M., Habala, P., Hájek, P., Montesinos, V., Pelant, J., Zizler, V.: Banach Space Theory. The Basis for Linear and Nonlinear Analysis. Springer, New York (2010)

Ghenciu, I., Lewis, P.: The Dunford-Pettis property and the Gelfand-Phillips property, and $$L$$-sets. Colloq. Math. 106, 311–324 (2006)

Jarchow, H.: Locally Convex Spaces. B.G. Teubner, Stuttgart (1981)

Josefson, B.: A Gelfand-Phillips space not containing $$\ell _1$$ whose dual ball is not weak$$^\ast $$ sequentially compact. Glasg. Math. J. 43, 125–128 (2001)

Ka̧kol, J., Kubiś, W., López-Pellicer, M.: Descriptive Topology in Selected Topics of Functional Analysis. Developments in Mathematics. Springer, Berlin (2011)

Lindenstrauss, J., Tzafriri, L.: Classical Banach Spaces. I. Sequence Spaces. Springer, Berlin (1977)

Narici, L., Beckenstein, E.: Topological Vector Spaces, 2nd edn. CRC Press, New York (2011)

Phillips, R.S.: On linear transformations. Trans. Am. math. Soc. 48, 516–541 (1940)

Schlumprecht, T.: Limited sets in Banach spaces. Dissertation, Univ. Munich (1987)

Schlumprecht, T.: Limited sets in $$C(K)$$-spaces and examples concerning the Gelfand–Phillips property. Math. Nachr. 157, 51–64 (1992)

Schmets, J.: Espaces de fonctions Continues. Lecture Notes in Math, vol. 519. Springer, Berlin (1976)