On semicontinuous linear lattices
Author: Hidegoro Nakano
Journal: Proc. Amer. Math. Soc. 34 (1972), 115-117
MSC: Primary 46A40
MathSciNet review: 0293370
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Abstract: Applying spectral theory, we proved that a linear lattice is continuous if and only if it is semicontinuous and uniformly complete. In this paper we give another proof without use of spectral theory.
B. Anderson and H. Nakano, Semi-continuous linear lattices, Studia Math. 37 (1971), 191-195.
H. Nakano, Linear lattices, Wayne State Univ. Press, Detroit, Mich., 1966. MR 33 #3084.
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