• [1] S. Banach, Théorie des opérations linéaires, Monografje Matematyczme, Warsaw, 1934.
• [2] Garrett Birkhoff, Lattice Theory, American Mathematical Society, New York, 1940. MR 0001959 (1,325f)
• [3] 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
• [4] James A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), no. 3, 396–414. MR 1501880, http://dx.doi.org/10.1090/S0002-9947-1936-1501880-4
• [5] Nelson Dunford, Uniformity in linear spaces, Trans. Amer. Math. Soc. 44 (1938), no. 2, 305–356. MR 1501971, http://dx.doi.org/10.1090/S0002-9947-1938-1501971-X
• [6] Nelson Dunford and Anthony P. Morse, Remarks on the preceding paper of James A. Clarkson: “Uniformly convex spaces” [Trans.\ Amer.\ Math.\ Soc.\ {40} (1936), no.\ 3; 1 501 880], Trans. Amer. Math. Soc. 40 (1936), no. 3, 415–420. MR 1501881, http://dx.doi.org/10.1090/S0002-9947-1936-1501881-6
• [7] Nelson Dunford and B. J. Pettis, Linear operations on summable functions, Trans. Amer. Math. Soc. 47 (1940), 323–392. MR 0002020 (1,338b), http://dx.doi.org/10.1090/S0002-9947-1940-0002020-4
• [8] I. Gelfand, Abstrakte Funktionen und lineare Operatoren, Rec. Math. (Mat. Sbornik) N.S. vol. 4 (1938) pp. 235-284.
• [9] T. H. Hildebrandt, On unconditional convergence in normed vector spaces, Bull. Amer. Math. Soc. 46 (1940), 959–962. MR 0003448 (2,221d), http://dx.doi.org/10.1090/S0002-9904-1940-07344-6
• [10] John von Neumann, On complete topological spaces, Trans. Amer. Math. Soc. 37 (1935), no. 1, 1–20. MR 1501776, http://dx.doi.org/10.1090/S0002-9947-1935-1501776-7
• [11] B. J. Pettis, Differentiation in Banach spaces, Duke Math. J. 5 (1939), no. 2, 254–269. MR 1546122, http://dx.doi.org/10.1215/S0012-7094-39-00523-5
• [12] B. J. Pettis, On integration in vector spaces, Trans. Amer. Math. Soc. 44 (1938), no. 2, 277–304. MR 1501970, http://dx.doi.org/10.1090/S0002-9947-1938-1501970-8
• [13] R. S. Phillips, Integration in a convex linear topological space, Trans. Amer. Math. Soc. 47 (1940), 114–145. MR 0002707 (2,103c), http://dx.doi.org/10.1090/S0002-9947-1940-0002707-3
• [14] R. S. Phillips, On weakly compact subsets of a Banach space, Amer. J. Math. 65 (1943), 108–136. MR 0007938 (4,218f)
• [15] C. E. Rickart, Decomposition of additive set functions, Duke Math. J. 10 (1943), 653–665. MR 0009977 (5,232c)
• [16] C. E. Rickart, Integration in a convex linear topological space, Trans. Amer. Math. Soc. 52 (1942), 498–521. MR 0007571 (4,162c), http://dx.doi.org/10.1090/S0002-9947-1942-0007571-6
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Bibliography

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S. Banach, Théorie des opérations linéaires, Monografje Matematyczme, Warsaw, 1934.

[2]

Garrett Birkhoff, Lattice theory, Amer. Math. Soc. Colloquium Publications, vol. 25, New York, 1940. MR 0001959 (1:325f)

[3]

-, Moore-Smith convergence in general topology, Ann. of Math. vol. 38 (1937) pp. 39-56. MR 1503323

[4]

James A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. vol. 40 (1936) pp. 396-414. MR 1501880

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N. Dunford, Uniformity in linear spaces, Trans. Amer. Math. Soc. vol. 44 (1938) pp. 305-356. MR 1501971

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N. Dunford and A. P. Morse, Remarks on the preceding paper of James A. Clarkson, Trans. Amer. Math. Soc. vol. 40 (1936) pp. 415-420. MR 1501881

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N. Dunford and B. J. Pettis, Linear operations on summable functions, Trans. Amer. Math. Soc. vol. 47 (1940) pp. 323-392. MR 0002020 (1:338b)

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I. Gelfand, Abstrakte Funktionen und lineare Operatoren, Rec. Math. (Mat. Sbornik) N.S. vol. 4 (1938) pp. 235-284.

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T. H. Hildbrandt, On unconditional convergence in normed vector spaces, Bull. Amer. Math. Soc. vol. 46 (1940) pp. 957-962. MR 0003448 (2:221d)

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J. von Neumann, On complete topological spaces, Trans. Amer. Math. Soc. vol. 37 (1935) pp. 1-20. MR 1501776

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B. J. Pettis, Differentiation in Banach spaces, Duke Math. J. vol. 5 (1939) pp. 254-269. MR 1546122

[12]

-, On integration in vector spaces, Trans. Amer. Math. Soc. vol. 44 (1938) pp. 277-304. MR 1501970

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R. S. Phillips, Integration in a convex linear topological space, Trans. Amer. Math. Soc. vol.47 (1940) pp. 114-145. MR 0002707 (2:103c)

[14]

-, On weakly compact subsets of a Banach space, Amer. J. Math. vol. 55 (1943) pp. 108-136. MR 0007938 (4:218f)

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C. E. Rickart, Decomposition of additive set functions, Duke Math. J. vol. 9 (1943) pp. 653-665. MR 0009977 (5:232c)

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-, Integration in a convex linear topological space, Trans. Amer. Math. Soc. vol. 52 (1942) pp. 498-521. MR 0007571 (4:162c)

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S. Saks, Theory of the integral, Monografje Matematyczme, Warsaw, 1937.