References
-
G. P. Curbera, Operators into
$L^1$ of a vector measure and applications to Banach lattices, Math. Ann. 293 (1992), no. 2, 317-330. https://doi.org/10.1007/BF01444717 -
G. P. Curbera, When
$L^1$ of a vector measure is an AL-space, Pacific J. Math. 162 (1994), no. 2, 287-303. https://doi.org/10.2140/pjm.1994.162.287 -
G. P. Curbera, Banach space properties of
$L^1$ of a vector measure, Proc. Amer. Math. Soc. 123 (1995), no. 12, 3797-3806. - J. Diestel, Sequences and series in Banach spaces, Springer-Verlag, New York, 1984.
- J. Diestel and J. J. Uhl, Jr., Vector measures, Amer. Math. Soc. Surveys Vol. 15, Providence, Rhode. Island, 1977.
- G. Knowles, Lyapunov vector measures, SIAM J. Control 13 (1975), 294-303. https://doi.org/10.1137/0313017
- D. R. Lewis, Integration with respect to vector measures, Pacific J. Math. 33 (1970), 157-165. https://doi.org/10.2140/pjm.1970.33.157
- D. R. Lewis, On integrability and summability in vector spaces, Illinois. J. Math. 16 (1972), 294-307.
- J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces II, Function Spaces, Springer, Berlin, 1977.
- A. Lyapunov, Sur les fonctions-vecteurs completement additivies, Izv. Akad. Nauk SSSR Ser. Mat. 4 (1940), 465-478.
- P. Meyer-Nieberg, Banach Lattices, Springer, Berlin and New york, 1991.
- S. Okada, W. J. Ricker, and L. Rodriguez-Piazza, Compactness of the integration operator associated with a vector measure, Studia. Math. 150 (2002), no. 2, 133-149. https://doi.org/10.4064/sm150-2-3
- V. I. Rybakov, On the theorem of Bartle, Dunford and Schwartz concerning vector measures, Mat. Zametki 7 (1970), 247-254.
-
G. F. Stefansson,
$L_1$ of a vector measure, Matematiche (Catania) 48 (1993), 219-234. - A. Szankowski, A Banach lattice without the approximation property, Israel J. Math. 24 (1976), no. 3-4, 329-337. https://doi.org/10.1007/BF02834763