1.

K.D. Bierstedt and J. Bonet, Stefan Heinrich's density condition for Fréchet spaces and the characterization of the distinguished Köthe echelon spaces, Math. Nachr. 135 (1985), 149–180  MR944226 10.1002/mana.19881350115 K.D. Bierstedt and J. Bonet, Stefan Heinrich's density condition for Fréchet spaces and the characterization of the distinguished Köthe echelon spaces, Math. Nachr. 135 (1985), 149–180  MR944226 10.1002/mana.19881350115

2.

K.D. Bierstedt and J. Bonet, Dual density conditions in (DF)-spaces I, Results Math. 14 (1988), 242–274  MR964043 10.1007/BF03323229 K.D. Bierstedt and J. Bonet, Dual density conditions in (DF)-spaces I, Results Math. 14 (1988), 242–274  MR964043 10.1007/BF03323229

3.

K.D. Bierstedt and J. Bonet, Density conditions in Fréchet and (DF)-spaces, Rev. Mat. Complut. 2 (1989), 59–75  MR1057209 K.D. Bierstedt and J. Bonet, Density conditions in Fréchet and (DF)-spaces, Rev. Mat. Complut. 2 (1989), 59–75  MR1057209

4.

J. Bonet and M. Lindström, Convergent sequences in Fréchet spaces. In: Functional Analysis (Essen, 1991; K.D. Bierstedt, A. Pietsch, W.M. Ruess and D. Vogt, Eds.), 391-404; Lecture Notes Pure Appl. Math. 150, Dekker, New York, 1994  MR1241690 J. Bonet and M. Lindström, Convergent sequences in Fréchet spaces. In: Functional Analysis (Essen, 1991; K.D. Bierstedt, A. Pietsch, W.M. Ruess and D. Vogt, Eds.), 391-404; Lecture Notes Pure Appl. Math. 150, Dekker, New York, 1994  MR1241690

5.

C. Bosch, T. Gilsdorf, C. Gomez and R. Vera, Local completeness of $l_p(E), \, 1\leq p < \infty$, IJMMS 31(11) (2002), 651–657  MR1928907 10.1155/S0161171202109033 C. Bosch, T. Gilsdorf, C. Gomez and R. Vera, Local completeness of $l_p(E), \, 1\leq p < \infty$, IJMMS 31(11) (2002), 651–657  MR1928907 10.1155/S0161171202109033

6.

N. Bourbaki, Espaces vectoriels topologiques, Ch. III-IV, Hermann, Paris, 1964 N. Bourbaki, Espaces vectoriels topologiques, Ch. III-IV, Hermann, Paris, 1964

7.

A. Defant and K. Floret, The precompactness-lemma for sets of operators; in: Funct. Analysis, Holomorphy and Approximation Theory II (G. Zapata, Ed.), North-Holland Math. Studies 86 (1984), 39–55  MR771321 A. Defant and K. Floret, The precompactness-lemma for sets of operators; in: Funct. Analysis, Holomorphy and Approximation Theory II (G. Zapata, Ed.), North-Holland Math. Studies 86 (1984), 39–55  MR771321

8.

J.C. Diaz, Montel subspaces in the countable projective limits of $L_p(\mu)$-spaces, Canad. Math. Bull. 32 (1989), 169–176  MR1006742 10.4153/CMB-1989-025-4 J.C. Diaz, Montel subspaces in the countable projective limits of $L_p(\mu)$-spaces, Canad. Math. Bull. 32 (1989), 169–176  MR1006742 10.4153/CMB-1989-025-4

9.

P. Domanski and L. Drewnowski, Fréchet spaces of continuous vector-valued functions: Complementability in dual Fréchet spaces and injectivity, Studia Math. 102 (1992), 257–267  MR1170555 P. Domanski and L. Drewnowski, Fréchet spaces of continuous vector-valued functions: Complementability in dual Fréchet spaces and injectivity, Studia Math. 102 (1992), 257–267  MR1170555

10.

L.E. Dor, On sequences spanning a complex $\,l_1$-space, Proc. Amer. Math. Soc. 47(2) (1975), 515–516  MR358308 L.E. Dor, On sequences spanning a complex $\,l_1$-space, Proc. Amer. Math. Soc. 47(2) (1975), 515–516  MR358308

11.

L. Drewnowski, The metrizable linear extensions of metrizable sets in topological linear spaces, Proc. Amer. Math. Soc. 51(2) (1975), 323–329  MR380336 10.1090/S0002-9939-1975-0380336-9 L. Drewnowski, The metrizable linear extensions of metrizable sets in topological linear spaces, Proc. Amer. Math. Soc. 51(2) (1975), 323–329  MR380336 10.1090/S0002-9939-1975-0380336-9

12.

G. Emmanuele, A dual characterization of Banach spaces not containing $l^1$, Bull. Acad. Polon. Sci. 34 (1986), 155–160  MR861172 G. Emmanuele, A dual characterization of Banach spaces not containing $l^1$, Bull. Acad. Polon. Sci. 34 (1986), 155–160  MR861172

13.

A. Grothendieck, Espaces Vectoriels Topologiques, Sociedade Mat. S. Paulo, Sao Paulo, 1964  MR77884 A. Grothendieck, Espaces Vectoriels Topologiques, Sociedade Mat. S. Paulo, Sao Paulo, 1964  MR77884

14.

S. Heinrich, Ultrapowers of locally convex spaces and applications I, Math. Nachr. 118 (1984), 285–315  MR773627 10.1002/mana.19841180121 S. Heinrich, Ultrapowers of locally convex spaces and applications I, Math. Nachr. 118 (1984), 285–315  MR773627 10.1002/mana.19841180121

15.

G. Köthe, Topological Vector Spaces I, Springer, Berlin, 1969 G. Köthe, Topological Vector Spaces I, Springer, Berlin, 1969

16.

D.G. Larman and C.A. Rogers, The normability of metrizable sets, Bull. London Math. Soc. 5 (1973), 39–48  MR320681 10.1112/blms/5.1.39 D.G. Larman and C.A. Rogers, The normability of metrizable sets, Bull. London Math. Soc. 5 (1973), 39–48  MR320681 10.1112/blms/5.1.39

17.

R.H. Lohman, On the selection of basic sequences in Fréchet spaces, Bull. Inst. Math. Acad. Sinica 2 (1974), 145–152  MR361711 R.H. Lohman, On the selection of basic sequences in Fréchet spaces, Bull. Inst. Math. Acad. Sinica 2 (1974), 145–152  MR361711

18.

F. Mayoral, Compact sets of compact operators in absence of $l^1$, Proc. Amer. Math. Soc. 129 (2000), 79–82  MR1784015 10.1090/S0002-9939-00-06007-X F. Mayoral, Compact sets of compact operators in absence of $l^1$, Proc. Amer. Math. Soc. 129 (2000), 79–82  MR1784015 10.1090/S0002-9939-00-06007-X

19.

P. Perez Carreras and J. Bonet, Barrelled Locally Convex Spaces, Math. Studies 131 (1987), North-Holland, Amsterdam  MR880207 P. Perez Carreras and J. Bonet, Barrelled Locally Convex Spaces, Math. Studies 131 (1987), North-Holland, Amsterdam  MR880207

20.

H.P. Rosenthal, A characterization of Banach spaces containing $l^1$, Proc. Nat. Acad. Sci. U.S.A. 71 (1974), 2411–2413  MR358307 10.1073/pnas.71.6.2411 H.P. Rosenthal, A characterization of Banach spaces containing $l^1$, Proc. Nat. Acad. Sci. U.S.A. 71 (1974), 2411–2413  MR358307 10.1073/pnas.71.6.2411

21.

W.M. Ruess, A Grothendieck representation for the completion of cones of continuous seminorms, Math. Ann. 208 (1974), 71–90  MR361702 10.1007/BF01432521 W.M. Ruess, A Grothendieck representation for the completion of cones of continuous seminorms, Math. Ann. 208 (1974), 71–90  MR361702 10.1007/BF01432521

22.

W.M. Ruess, An operator space characterization of Fréchet spaces not containing $l^1$, Funct. Approx. Comment. Math. 44(2) (2011), 259–264  MR2841183 10.7169/facm/1308749128 euclid.facm/1308749128 W.M. Ruess, An operator space characterization of Fréchet spaces not containing $l^1$, Funct. Approx. Comment. Math. 44(2) (2011), 259–264  MR2841183 10.7169/facm/1308749128 euclid.facm/1308749128

23.

M. Valdivia, On totally reflexive Fréchet spaces, Atti del Congreso Int. Analisi Mat. e sue Applicazioni, Bari (1991), 39–55  MR1185555 M. Valdivia, On totally reflexive Fréchet spaces, Atti del Congreso Int. Analisi Mat. e sue Applicazioni, Bari (1991), 39–55  MR1185555