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...

Assumptions Intermediate language: RISC-like 3-address code‡ Intermediate Code Generation (ICG) is independent of target ISA Storage layout has been pre-determined Infinite number of registers + Frame Pointer (FP) Q. What values can live in registers? ‡ ILOC: Cooper and Torczon, Appendix A. Strategy 1. Simple bottom-up tree-walk on AST 2. Translation uses only local info: current AST node + chi...

In this paper, we first show that the tensor product of a finite number of standard g-frames (resp. fusion frames, frames) is a standard g-frame (resp. fusion frame, frame) for the tensor product of Hilbert $C^ast-$ modules and vice versa, then we consider tensor products of g-Bessel multipliers, Bessel multipliers and Bessel fusion multipliers in Hilbert $C^ast-$modules. Moreover, we obtain so...

In this paper, a new notion of frames is introduced: $ast$-operator frame as generalization of $ast$-frames in Hilbert $C^{ast}$-modules introduced by A. Alijani and M. A. Dehghan cite{Ali} and we establish some results.

in this paper, we first show that the tensor product of a finite number of standard g-frames (resp. fusion frames, frames) is a standard g-frame (resp. fusion frame, frame) for the tensor product of hilbert $c^ast-$ modules and vice versa, then we consider tensor products of g-bessel multipliers, bessel multipliers and bessel fusion multipliers in hilbert $c^ast-$modules. moreover, we obtain so...

‎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 to resist lateral loads in concrete buildings, usually systems such as flexural frame, shear wall or their combinations are used. using x form of cable bracing in order to strengthen concrete buildings is a new method. this system is more economical compared with the other systems due to cables low weight, high tensile resistance, easy performance and less maintenance problems. in this...

In this paper, we introduce the concepts of $ast$-K-g-Frames in Hilbert $mathcal{A}$-modules and we establish some results.

Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator. Also, some necessary and sufficient conditions are studied such that $*$-frames and ordinary duals or operator duals of another $*$-frames are equivalent under these conditions. W...

BACKGROUND Stress ulcers are acute superficial inflammatory lesions of the gastric mucosa induced when an individual is subjected to unusually high physiologic demands. In recent years, use of acid suppression therapy (AST) for stress ulcer prophylaxis (SUP) in inpatient settings other than intensive care has become increasingly common, leading to increased drug cost and an avoidable increased ...