• [1] R. P. Agnew and A. P. Morse, Extensions of linear functionals, with applications to limits, integrals, measures, and densities, Ann. of Math. (2) 39 (1938), no. 1, 20–30. MR 1503385, http://dx.doi.org/10.2307/1968710
• [2] Leon Alaoglu, Weak topologies of normed linear spaces, Ann. of Math. (2) 41 (1940), 252–267. MR 0001455 (1,241e)
• [3] L. Alaoglu and G. Birkhoff, General ergodic theorems, Ann. of Math. (2) 41 (1940), 293–309. MR 0002026 (1,339a)
• [4] S. Banach, Théorie des Opérations Linéaires, Monografje Matematiczne, Warsaw, 1932.
• [5] Garrett Birkhoff, Moore-Smith convergence in general topology, Ann. of Math. (2) 38 (1937), no. 1, 39–56. MR 1503323, http://dx.doi.org/10.2307/1968508
• [6] L. W. Cohen, On the mean ergodic theorem, Ann. of Math. (2) 41 (1940), 505–509. MR 0002027 (1,339b)
• [7] Nelson Dunford, A mean ergodic theorem, Duke Math. J. 5 (1939), 635–646. MR 0000098 (1,18f)
• [8] G. Fichtenholz and L. Kantorovich, Sur les opérations dans l'espace des functions bornées, Studia Mathematica, vol. 5 (1934), pp. 69-98.
• [9] Shizuo Kakutani, Weak topology and regularity of banach spaces, Proc. Imp. Acad., Tokyo 15 (1939), 169–173. MR 0000351 (1,59b)
• [10] Edgar R. Lorch, Means of iterated transformations in reflexive vector spaces, Bull. Amer. Math. Soc. 45 (1939), 945–947. MR 0001460 (1,242e), http://dx.doi.org/10.1090/S0002-9904-1939-07122-X
• [11] S. Mazur, Über konvexe Mengen in linearen normierten Räumen, Studia Mathematica, vol. 4 (1933), pp. 70-84.
• [12] F. Riesz, Some mean ergodic theorems, Journal of the London Mathematical Society, vol. 13 (1938), pp. 274-278.
• [13] V. Šmulian, Sur les topologies différents dans l'espace de Banach, Comptes Rendus (Doklady) de l'Académie des Sciences de l'URSS, vol. 23 (1939), pp. 331-334.
• [14] John V. Wehausen, Transformations in linear topological spaces, Duke Math. J. 4 (1938), no. 1, 157–169. MR 1546041, http://dx.doi.org/10.1215/S0012-7094-38-00412-0
• [15] K. Yosida, Mean ergodic theorems in Banach spaces, Proceedings of the Imperial Academy, Tokyo, vol. 14 (1939), pp. 292-294.

Bibliography

[1]

R. P. Agnew and A. P. Morse, Extensions of linear functionals, with applications to limits, integrals, measures, and densities, Annals of Mathematics, (2), vol. 39 (1938), pp. 20-30. MR 1503385

[2]

L. Alaoglu, Weak topologies in normed linear spaces, Annals of Mathematics, (2), vol. 41 (1940), pp. 252-267. MR 0001455 (1:241e)

[3]

L. Alaoglu and G. Birkhoff, General ergodic theorems, Annals of Mathematics, (2), vol. 41 (1940), pp. 293-309. MR 0002026 (1:339a)

[4]

S. Banach, Théorie des Opérations Linéaires, Monografje Matematiczne, Warsaw, 1932.

[5]

G. Birkhoff, Moore-Smith convergence in general topology, Annals of Mathematics, (2), vol. 38 (1937), pp. 39-56. MR 1503323

[6]

L. W. Cohen, On the mean ergodic theorem, Annals of Mathematics, (2), vol. 41 (1940), pp. 505-509. MR 0002027 (1:339b)

[7]

N. Dunford, A mean ergodic theorem, Duke Mathematical Journal, vol. 5 (1939), pp. 635-646. MR 0000098 (1:18f)

[8]

G. Fichtenholz and L. Kantorovich, Sur les opérations dans l'espace des functions bornées, Studia Mathematica, vol. 5 (1934), pp. 69-98.

[9]

S. Kakutani, Weak topology and regularity of Banach spaces, Proceedings of the Imperial Academy, Tokyo, vol. 16 (1939), pp. 169-173. MR 0000351 (1:59b)

[10]

E. R. Lorch, Means of iterated transformations in reflexive Banach spaces, Bulletin of the American Mathematical Society, vol. 45 (1939), pp. 945-947. MR 0001460 (1:242e)

[11]

S. Mazur, Über konvexe Mengen in linearen normierten Räumen, Studia Mathematica, vol. 4 (1933), pp. 70-84.

[12]

F. Riesz, Some mean ergodic theorems, Journal of the London Mathematical Society, vol. 13 (1938), pp. 274-278.

[13]

V. Šmulian, Sur les topologies différents dans l'espace de Banach, Comptes Rendus (Doklady) de l'Académie des Sciences de l'URSS, vol. 23 (1939), pp. 331-334.

[14]

J. V. Wehausen, Transformations in linear topological spaces, Duke Mathematical Journal, vol. 4 (1938), pp. 157-168. MR 1546041

[15]

K. Yosida, Mean ergodic theorems in Banach spaces, Proceedings of the Imperial Academy, Tokyo, vol. 14 (1939), pp. 292-294.