For a compact space $K$ we consider the $P(K)$ of probability regular Borel measures on $K$, equipped with weak$^\ast $ topology inherited from $C(K)^\ast $. We discuss possible characterizations those spaces for which is

BACKGROUND We investigated the long-term effect of AST-120, which has been proposed as a therapeutic option against renal disease progression, in patients with advanced chronic kidney disease (CKD). METHODS We performed post-hoc analysis with a per-protocol group of the K-STAR study (Kremezin study against renal disease progression in Korea) that randomized participants into an AST-120 and a ...

The present paper aims to study $c$-$g$-woven for Hilbert $C^ {*} $-module spaces, first, we give some definitions and fundamental properties which will be useful introduce the notion. And also of his are given. Finally, discuss perturbation $c$-$g$-woven.

In this paper, we determine, in terms of the Sullivan models, rational evaluation subgroups inclusion $ \mathbb{C} P(n)\hookrightarrow P(n+k) between complex projective spaces and, more generally, G $-sequence homotopy monomorphism \iota: X\hookrightarrow Y simply connected formal homogeneous for which \pi_{\ast}(Y)\otimes \mathbb{Q}$ is finite dimensional.

In this paper we study the duality of Bessel and g-Bessel sequences in Hilbert spaces. We show that a Bessel sequence is an inner summand of a frame and the sum of any Bessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next we develop this results to the g-frame situation.

In this paper, by using the sequence of adjointable operators from pro-C*-algebra $ mathcal{A} $ into a Hilbert $ mathcal{A} $-module $ E $. We introduce frames with bounds in pro-C*-algebra $ mathcal{A} $. New frames in Hilbert modules over pro-C*-algebras are called standard $ ast $-frames of multipliers. Meanwhile, we study several useful properties of standard $ ast $-frames in Hilbert modu...

In this paper, we introduce the concept of $g$-dual frames for Hilbert $C^{*}$-modules, and then the properties and stability results of $g$-dual frames  are given.  A characterization of $g$-dual frames, approximately dual frames and dual frames of a given frame is established. We also give some examples to show that the characterization of $g$-dual frames for Riesz bases in Hilbert spaces is ...

In this paper, g-dual function-valued frames in L2(0;1) are in- troduced. We can achieve more reconstruction formulas to ob- tain signals in L2(0;1) by applying g-dual function-valued frames in L2(0;1).

In this paper we get some results and applications for duals and approximate duals of g-frames in Hilbert spaces. In particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of Hilbert spaces. We also obtain some results for perturbations of approximate duals.