An example in the space of bounded operators from to
Author: Samuel Kaplan
Journal: Proc. Amer. Math. Soc. 38 (1973), 595-597
MSC: Primary 47B55; Secondary 46A40, 46E05
MathSciNet review: 0318959
Abstract: Let be compact spaces, and the corresponding Banach lattices of real continuous functions. It is shown that the partially ordered space of bounded operators from to need not be generated by its positive cone.
Keywords: Continuous functions, bounded linear mappings, positive cone
Article copyright: © Copyright 1973 American Mathematical Society