Salas and Tapia-García introduced the concept of an extended locally convex space in [13] which extends idea normed (introduced by Beer [2]). This article gives attractive formulation finest topology provides a systematic study resulting space. As application, we characterize coincidence topologies corresponding to uniform strong convergences on bornology for function C(X).

It is shown that every locally idempotent (locallym-pseudoconvex) Hausdorff algebra A with pseudoconvex vonNeumannbornology is a regular (respectively, bornological) inductive limit of metrizable locallym-(kB-convex) subalgebras AB of A. In the case where A, in addition, is sequentially BA-complete (sequentially advertibly complete), then every subalgebraAB is a locally m-(kB-convex) Fréchet al...

In this paper, we introduce the notation of soft bornological group to solve problem boundedness for group. We combine set theory with bornology space produce a new structure which is called So that both product and inverse maps are bounded. As well as, study actions on sets. The aim partition into orbital classes by acting set. addition, explain centralizer, normalizer, stabilizer in details. ...

We primarily make a general approach to the study of open covers and related selection principles using idea statistical convergence in metric space. In process we are able extend some results (Caserta et al. 2012; Chandra 2020) where bornological spaces have been investigated strong uniform (Beer Levi, 2009) on bornology. introduce notion statistical-Bs-cover, statistically-strong-B-Hurewicz s...

The notion of locally quasi-convex abelian group, introduce by Vilenkin, is extended to maximally almost-periodic non-necessarily abelian groups. For that purpose, we look at certain bornologies that can be defined on the set rep(G) of all finite dimensional continuous representations on a topological group G in order to associate well behaved group topologies (dual topologies) to them. As a co...

15 evaluate the correction term for each triple in the left side of table 1, but for brevity of exposition we will evaluate this term only for a sample of each class (T 2 and T 4).

The double lepton pair decay modes of the KL meson are analyzed including all contributions of order p in Chiral Perturbation Theory. The experimentally established eeee mode and the recently observed eeμμ mode are discussed in detail. Typeset using REVTEX 0 In this note we reconsider the double lepton pair decays KL → llll that were studied many years ago by Miyazaki and Takasugi [1]. The two ...

This paper presents lessons learned during the development of NASA's Systems Test and Operations Language (STOL) Intelligent Tutoring System (ITS), being developed at NASA Goddard Space Flight Center with support by Carlow Associates Incorporated and Computer Sciences Corporation. The purpose of the intelligent tutor is to train STOL users by adapting tutoring based on inferred student strength...