Homotonic Algebras


An algebra A of real or complex valued functions defined on a set T shall be called homotonic if A is closed under forming of absolute values, and for all f and g in A, the product f ×g satisfies |f×g| ≤ |f |×|g|. Our main purpose in this paper is two-fold: To show that the above definition is equivalent to an earlier definition of homotonicity, and to… (More)