Lattice ordering on Banach spaces
Author:
L. J. Heider
Journal:
Proc. Amer. Math. Soc. 3 (1952), 833838
MSC:
Primary 46.3X
MathSciNet review:
0050810
Fulltext PDF Free Access
References 
Similar Articles 
Additional Information
 [1]
Garrett
Birkhoff, Lattice Theory, American Mathematical Society
Colloquium Publications, vol. 25, revised edition, American Mathematical
Society, New York, N. Y., 1948. MR 0029876
(10,673a)
 [2]
James
A. Clarkson, A characterization of 𝐶spaces, Ann. of
Math. (2) 48 (1947), 845–850. MR 0022314
(9,192e)
 [3]
Shizuo
Kakutani, Concrete representation of abstract (𝑀)spaces.
(A characterization of the space of continuous functions.), Ann. of
Math. (2) 42 (1941), 994–1024. MR 0005778
(3,205g)
 [4]
Shizuo
Kakutani, Concrete representation of abstract (𝐿)spaces
and the mean ergodic theorem, Ann. of Math. (2) 42
(1941), 523–537. MR 0004095
(2,318d)
 [5]
Mark
Krein and Selim
Krein, On an inner characteristic of the set of all continuous
functions defined on a bicompact Hausdorff space, C. R. (Doklady)
Acad. Sci. URSS (N.S.) 27 (1940), 427–430. MR 0003453
(2,222c)
 [6]
S.
B. Myers, Banach spaces of continuous functions, Ann. of Math.
(2) 49 (1948), 132–140. MR 0023000
(9,291c)
 [1]
 G. Birkhoff, Lattice theory, Amer. Math. Soc. Colloquium Publications, vol. 25, rev. ed., 1948. MR 0029876 (10:673a)
 [2]
 J. A. Clarkson, A characterization of Cspaces, Ann. of Math. vol. 48 (1947) pp. 845850. MR 0022314 (9:192e)
 [3]
 S. Kakutani, Concrete representations of abstract (M) spaces, Ann. of Math. vol. 42 (1941) pp. 9941024. MR 0005778 (3:205g)
 [4]
 , Concrete representation of abstract (L) spaces and the mean ergodic theorem, Ann. of Math. vol. 42 (1941) pp. 523537. MR 0004095 (2:318d)
 [5]
 M. and S. Krein, On an inner characteristic of the set of all continuous functions defined on a bicompact Hausdorff space, C. R. (Doklady) Acad. Sci. URSS. vol. 27 (1940) pp. 427130. MR 0003453 (2:222c)
 [6]
 S. B. Myers, Banach spaces of continuous functions, Ann. of Math. vol. 49 (1948) pp. 132140. MR 0023000 (9:291c)
Similar Articles
Retrieve articles in Proceedings of the American Mathematical Society
with MSC:
46.3X
Retrieve articles in all journals
with MSC:
46.3X
Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939195200508108
PII:
S 00029939(1952)00508108
Article copyright:
© Copyright 1952
American Mathematical Society
