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.
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 34 (1972), 115-117
- MSC: Primary 46A40
- DOI: https://doi.org/10.1090/S0002-9939-1972-0293370-1
- MathSciNet review: 0293370