1. Let A be a fixed compact Hausdorff space, C the Banach lattice of continuous real functions on X, L its dual, and M its second dual. The closure of C in M under the weak topology wiM, L) determined by L is, as is well known, M itself. In fact, the closure of C under the Mackey topology riM, L) is M itself, by the Grothendieck Theorem. A deeper property is that this relationship between C and...

Finite-difference operators satisfying the summation-by-parts (SBP) rule can be used to obtain high-order accurate time-stable schemes for partial differential equations (PDEs), when the boundary and interface conditions are imposed weakly by the simultaneous approximation term method (SAT). The most common SBP-SAT discretizations are accurate of order 2p in the interior and order p close to th...

‎in this paper‎, ‎first we develop the duality concept for $g$-bessel sequences‎ ‎and bessel fusion sequences in hilbert spaces‎. ‎we obtain some results about dual‎, ‎pseudo-dual ‎and approximate dual of frames and fusion frames‎. ‎we also expand every $g$-bessel ‎sequence to a frame by summing some elements‎. ‎we define the restricted isometry property for ‎$g$-frames and generalize some resu...

OBJECTIVE To compare, in vitro, the accuracy between dental stone casts obtained from the first and the second pour using metallic (Smart) and plastic (Triple Tray) dual-arch trays. MATERIAL AND METHODS The impressions were taken using Flexitime® vinyl polysiloxane from a typodont model with a mandibular right first molar prepared for a full crown. Ten impressions were made with each tray and...

in this paper the concept of homothetic dual exponential motions in d3 is discussed and theirvelocities obtained. due to the way in which the matter is presented, the paper gives some formula and factsabout dual exponential motions which are not generally known