Convergence theorems in Banach algebras

Robert Beauwens, Jean-Jacques Van Binnebeek
1977 Pacific Journal of Mathematics  
It is shown that several convergence theorems for linear operators, usually established by Hubert space techniques are consequences of the general relations between convergence, monotonicity and order units in ordered Banach spaces.
doi:10.2140/pjm.1977.68.13 fatcat:4heidjbzoncqrie4o7cll6zwia