# A characterization of weakly sequentially complete Banach lattices

Annales de l'institut Fourier (1976)

- Volume: 26, Issue: 2, page 25-28
- ISSN: 0373-0956

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topWickstead, A. W.. "A characterization of weakly sequentially complete Banach lattices." Annales de l'institut Fourier 26.2 (1976): 25-28. <http://eudml.org/doc/74281>.

@article{Wickstead1976,

abstract = {The equivalence of the two following properties is proved for every Banach lattice $E$:1) $E$ is weakly sequentially complete.2) Every $\sigma (E^*,E)$-Borel measurable linear functional on $E$ is $\sigma (E^*,E)$-continuous.},

author = {Wickstead, A. W.},

journal = {Annales de l'institut Fourier},

language = {eng},

number = {2},

pages = {25-28},

publisher = {Association des Annales de l'Institut Fourier},

title = {A characterization of weakly sequentially complete Banach lattices},

url = {http://eudml.org/doc/74281},

volume = {26},

year = {1976},

}

TY - JOUR

AU - Wickstead, A. W.

TI - A characterization of weakly sequentially complete Banach lattices

JO - Annales de l'institut Fourier

PY - 1976

PB - Association des Annales de l'Institut Fourier

VL - 26

IS - 2

SP - 25

EP - 28

AB - The equivalence of the two following properties is proved for every Banach lattice $E$:1) $E$ is weakly sequentially complete.2) Every $\sigma (E^*,E)$-Borel measurable linear functional on $E$ is $\sigma (E^*,E)$-continuous.

LA - eng

UR - http://eudml.org/doc/74281

ER -

## References

top- [1] J. P. R. CHRISTENSEN, Borel structures in groups and semi-groups, Math. Scand., 28 (1971) 124-128. Zbl0217.08502MR46 #7436
- [2] J. P. R. CHRISTENSEN, Borel structures and a topological zero-one law, Math. Scand., 29 (1971), 245-255. Zbl0234.54024MR47 #2021
- [3] D. H. FREMLIN, Abstract Kothe spaces II, Proc. Cam. Phil. Soc., 63 (1967), 951-956. Zbl0179.17005MR35 #7107
- [4] W. A. LUXEMBURG and A. C. ZAANEN, Notes on Banach function spaces, Nederl. Akad. Wetensch. Proc. Ser. A., 67 (1964) (a) 507-518, (b) 519-529. Zbl0147.11001
- [5] P. MEYER-NIEBERG, Zur schwachen Kompaktheit in Banachverbanden, Math. Z.j 134 (1973), 303-315. Zbl0268.46010MR48 #9341

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