References
- [1] BIRKHOFF, G.: Integration of functions with values in a Banach Space, Trans. Amer. Math. Soc. 38 (1935), no. 2, 357-378,
- [2] BALCERZAK, M.-POTYRALA, M.: Convergence theorems for the Birkhoff integral, Czechoslovak Math. J. 58 (2008), no. 4, 1207-1219.
- [3] DUNFORD, N.- SCHWARTZ, J. T.: Linear Operators I. Interscience Publishers, New York, London, 1964.
- [4] DIESTEL, J.- UHL. J. J., JR.: Vector Measures. Math. Surveys Vol. 15. AMS, Providence, RI, 1977.
- [5] KOMURA, Y.: Some examples on linear topological spaces, Math. Ann. 153 (1964), 150-162.
- [6] MARRAFFA, V.: A Birkhoff type integral and Bourgain property in a locally convex space, Real Anal. Exchange, 32 (2006/2007), 409-427.
- [7] POTYRALA, M.: Some remarks about Birkhoff and Riemann-Lebesgue integrability of vector valued functions, Tatra Mt. Math. Publ. 35 (2007), 97-106.
- [8] PHILLIPS, R. S.: Integration in a convex linear topological space, Trans. Amer. Math. Soc. 44 (1938), 227-304.
- [9] RODRIGUEZ, J.: Convergence theorems for the Birkhoff integral, Houston J. Math. 35 (2009), 541-551.
- [10] RODRIGUEZ, J.: Pointwise limits of Birkhoff integrable functions, Proc. Amer. Math. Soc. 137 (2009), 235-245.
- [11] SCHAEFER, H. H.: Topological Vector Spaces. Graduate Texts in Mathematics, Vol. 3. Springer-Verlag, New York 1971.
- [12] YOSIDA, K.: Functional Analysis. Springer-Verlag, Berlin, 1980.