On a one-sided James' theorem

One Sided Ideals and Carlson’s Theorem

Using left ideals, right ideals, and the smallest two sided ideal in a compact right topological semigroup, we derive an extension of the Main Lemma to Carlson’s Theorem. This extension involves an infinite sequence of variable words over a finite alphabet, some of which are required to have the variable as the first letter and others of which are required to have the variable

A Tauberian Theorem with a Generalized One-Sided Condition

We prove a Tauberian theorem to recover moderate oscillation of a real sequence u = (u n) out of Abel limitability of the sequence (V (1) n (Δu)) and some additional condition on the general control modulo of oscillatory behavior of integer order of u = (u n).

A one-sided Fubini theorem for Gowurin measures

One-Sided Interval Trees

We give an alternative treatment and extension of some results of Itoh and Mahmoud on one-sided interval trees. The proofs are based on renewal theory, including a case with mixed multiplicative and additive renewals.

On one-sided versus two-sided classification

One-sided classiiers are computable devices which read the characteristic function of a set and output a sequence of guesses which converges to 1 ii the set on the input belongs to the given class. Such a classiier is two-sided if the sequence of its output in addition converges to 0 on sets not belonging to the class. The present work obtains the below mentioned results for one-sided classes (...