1.2. The idea of quotient algebras was found, e.g. in [19], and the explicit descriptions, e.g. [3], based on Silva-differentiability on bornological vector spaces [2] produce a major impact in the field. The simplification [4] abandoned later in [5] indicates that a suitable framework of infinite dimensional differential calculus is definitely required. Our quick response with compact equicont...

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...

Let G be a reductive group over a non-Archimedean local field. Then the canonical functor from the derived category of smooth tempered representations of G to the derived category of all smooth representations of G is fully faithful. Here we consider representations on bornological vector spaces. As a consequence, if G is semi-simple, V and W are tempered irreducible representations of G, and V...

In this work we provide a characterization of distinct types (linear and non-linear) maps between Banach spaces in terms the differentiability certain class Lipschitz functions. Our results are stated an abstract bornological non-linear framework. Restricted to linear case, can apply our compact, weakly-compact, limited completely continuous operators. Moreover, yield Gelfand-Phillips recover s...

Background and Aim: Different methods have been proposed for rapid disinfection of gutta-percha (GP) cones. This study aimed to assess the efficacy of low-pressure radiofrequency cold plasma (LRFCP) in disinfection of GP cones compared to three chemical disinfectants. Materials and Methods: Seventy GP cones were allocated to seven groups of 10 each. All samples were initially sterilized with e...

introduction: the purpose of this study was to compare first accessory gutta-percha penetration after the use of nickel-titanium (ni-ti) or stainless-steel spreaders in curved resin blocks. materials and methods: forty resin blocks with 30º and 45º curvatures (20 blocks for each) were prepared and #30 master cones were placed in canals. in part one, under 20 newton pressure, ni-ti or stainless-...