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An $L^1$-space for Boolean algebras and semireflexivity of $L^\infty \left({{X},\Sigma ,\mu}\right)$
Author(s):
Dennis
Sentilles
Journal:
Bull. Amer. Math. Soc.
81
(1975),
1096-1098.
MSC (1970):
Primary 46A20, 46B10;
Secondary 54H10, 28A60, 28A30
MathSciNet review:
0394154
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References |
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Additional information
References:
- 1.
- R. C. Buck, Bounded continuous functions on a locally compact space, Michigan Math. J. 5 (1958), 95-104. MR 21 #4350. MR 105611
- 2.
- J. B. Conway, The strict topology and compactness in the space of measures, Bull. Amer. Math. Soc. 72 (1966), 75-78. MR 32 #4509. MR 187054
- 3.
- J. Henry and D. Taylor, The $\bar \beta $ topology for $W\sp{*} $-algebras, Pacific J. Math, (to appear). MR 390791
- 4.
- F. D. Sentilles, Bounded continuous functions on a completely regular space, Trans. Amer. Math. Soc. 168 (1972), 311-336. MR 45 #4133. MR 295065
- 5.
- F. D. Sentilles and D. C. Taylor, Factorization in Banach algebras and the general strict topology, Trans. Amer. Math. Soc. 142 (1969), 141-152. MR 40 #703. MR 247437
- 6.
- R. Sikorski, Boolean algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete, N. F., Heft 25, Springer-Verlag, Berlin, 1960. MR 23 #A3689. MR 126393
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13931-0
PII:
S 0002-9904(1975)13931-0
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