‎Frames generalize orthonormal bases and allow representation of all the elements of the space‎. ‎Frames play significant role in signal and image processing‎, ‎which leads to many applications in informatics‎, ‎engineering‎, ‎medicine‎, ‎and probability‎. ‎In this paper‎, ‎we introduce the concepts of operator frame for the space $End_{mathcal{A}}^{ast}(mathcal{H})$ of all adjointable operator...

abstract. certain facts about frames and generalized frames (g- frames) are extended for the g-frames for hilbert c*-modules. it is shown that g-frames for hilbert c*-modules share several useful properties with those for hilbert spaces. the paper also character- izes the operators which preserve the class of g-frames for hilbert c*-modules. moreover, a necessary and suffcient condition is ob- ...

A bstract In the context of recently measured non-leptonic decays B d ? $$ {K}^{\ast 0}{\overline{K}}^{\ast 0} K ? 0 ¯ and s we analyse anatomy L VV observable that compares longitudinal c...

Let {xn} be a frame for a Hilbert space H. We investigate the conditions under which there exists a dual frame for {xn} which is also a Parseval (or tight) frame. We show that the existence of a Parseval dual is equivalent to the problem whether {xn} can be dilated to an orthonormal basis (under an oblique projection). A necessary and sufficient condition for the existence of Parseval duals is ...

ABSTRACTBackground: Patients with liver cirrhosis had cell damage and malnutrition risk. Hepatogomax enteral formula consists of soybean flour goat’s milk which could reduce serum albumin, AST, ALT levels because it contains BCAA amino acids (valine, leucine, isoleucine) MCT.Objective: To examine the effect based on Soybean in Sprague Dawley rats cirrhosis.Methods: The true experimental study –...

Abstract Let $G/K$ be an irreducible symmetric space, where G is a noncompact, connected Lie group and K compact, subgroup. We use decay properties of the spherical functions to show that convolution product any $r=r(G/K)$ continuous orbital measures has its density function in $L^{2}(G)$ hence absolutely measure with respect Haar measure. The number r approximately rank . For special case meas...

For every action φ ∈ Hom(G, Autk(K)) of a group G on commutative ring K we introduce two abelian monoids. The monoid Cliffk(φ) consists equivalence classes strongly G-graded algebras type up to Clifford system extensions K-central algebras. $${{\cal C}_k}(\phi )$$ equivariance homomorphisms from the Picard groups (generalized collective characters). Furthermore, for such there is an exact seque...

Controlled g-atomic subspace for a bounded linear operator is being presented and characterization has been given. We give an example of controlled K-g-fusion frame. construct new frame the Hilbert space H ? X using frames spaces X. Several useful resolutions identity on theory g-fusion have discussed. Frame pair Bessel sequences introduced.

OBJECTIVE To evaluate the reliability and validity of Korean version of AST (K-AST) as a bedside screening test of apraxia in patients with stroke for early and reliable detection. METHODS AST was translated into Korean, and the translated version received authorization from the author of AST. The performances of K-AST in 26 patients (21 males, 5 females; mean age 65.42±17.31 years) with stro...