# Compactness properties of the integration mapassociated with a vector measure

Colloquium Mathematicae (1993)

- Volume: 66, Issue: 2, page 175-185
- ISSN: 0010-1354

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topOkada, Susumu, and Ricker, Werner. "Compactness properties of the integration mapassociated with a vector measure." Colloquium Mathematicae 66.2 (1993): 175-185. <http://eudml.org/doc/210240>.

@article{Okada1993,

author = {Okada, Susumu, Ricker, Werner},

journal = {Colloquium Mathematicae},

keywords = {vector measure; integration map; compactness},

language = {eng},

number = {2},

pages = {175-185},

title = {Compactness properties of the integration mapassociated with a vector measure},

url = {http://eudml.org/doc/210240},

volume = {66},

year = {1993},

}

TY - JOUR

AU - Okada, Susumu

AU - Ricker, Werner

TI - Compactness properties of the integration mapassociated with a vector measure

JO - Colloquium Mathematicae

PY - 1993

VL - 66

IS - 2

SP - 175

EP - 185

LA - eng

KW - vector measure; integration map; compactness

UR - http://eudml.org/doc/210240

ER -

## References

top- [1] G. P. Curebra, Operators into ${L}^{1}$ of a vector measure and applications to Banach lattices, Math. Ann. 293 (1992), 317-330.
- [2] W. J. Davis, T. Figiel, W. B. Johnson and A. Pełczyński, Factoring weakly compact operators, J. Funct. Anal. 17 (1974), 311-327. Zbl0306.46020
- [3] J. Diestel, Sequences and Series in Banach Spaces, Springer, New York, 1984.
- [4] J. Diestel and J. J. Uhl, Jr., Vector Measures, Math. Surveys 15, Amer. Math. Soc., Providence, 1977.
- [5] P. G. Dodds, B. de Pagter and W. J. Ricker, Reflexivity and order properties of scalar-type spectral operators in locally convex spaces, Trans. Amer. Math. Soc. 293 (1986), 355-380. Zbl0595.47025
- [6] I. Kluvánek, Applications of vector measures, in: Contemp. Math. 2, Amer. Math. Soc., 1980, 101-134. Zbl0587.28005
- [7] I. Kluvánek and G. Knowles, Vector Measures and Control Systems, North-Holland, Amsterdam, 1976. Zbl0316.46043
- [8] S. Okada, A tensor product vector integral, in: Lecture Notes in Math. 1089, Springer, Berlin, 1984, 127-145.
- [9] S. Okada, The dual space of ${L}^{1}\left(\mu \right)$ for a vector measure μ, J. Math. Anal. Appl. 177 (1993), 583-599. Zbl0804.46049
- [10] S. Okada and W. J. Ricker, Non-weak compactness of the integration map for vector measures, J. Austral. Math. Soc. Ser. A, 54 (1993), 287-303. Zbl0802.28005

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