In this paper we introduce continuous $g$-Bessel multipliers in Hilbert spaces and investigate some of their properties. We provide some conditions under which a continuous $g$-Bessel multiplier is a compact operator. Also, we show the continuous dependency of continuous $g$-Bessel multipliers on their parameters.

In this paper, using a relation between Schur multipliers of pairs and triples of groups, the fundamental group and homology groups of a homotopy pushout of Eilenberg-MacLane spaces, we present among other things some behaviors of Schur multipliers of pairs and triples with respect to free, amalgamated free, and direct products and also direct limits of groups with topological approach.

In this paper we introduce controlled *-g-frame and *-g-multipliers in Hilbert C*-modules and investigate the properties. We demonstrate that any controlled *-g-frame is equivalent to a *-g-frame and define multipliers for (C,C')- controlled*-g-frames .

As developed by Wallace and Dadda, a method for high-speed, parallel multiplication is to generate a matrix of partial products and then reduce the partial products to two numbers whose sum is equal to the final product. The resulting two numbers are then summed using a fast carry-propagate adder. This paper presents Reduced Area multipliers, which employ a modified reduction scheme that result...

In any digital signal processors (DSP’s) the speed of the multipliers plays a very important role. The precision of the multipliers also plays very important role along with its speed. For many high performance systems such as Digital Signal Processors, Microprocessors etc Multipliers are the key components. Since the Floating point multipliers can provide required precision but they are relati...

It is proved that stability multipliers such as Zames–Falb multipliers, Popov multipliers, and RL/RC multipliers, known to preserve positivity of monotone memoryless nonlinearities, do not, in general, preserve their incremental positivity. Our result implies that stability results based on these multipliers should be interpreted with caution since without incremental positivity the continuity ...

Multipliers are often used to find conditions for the absolute stability of Lur'e systems. They can be used either in conjunction with passivity theory or within the more recent framework of integral quadratic constraints (IQCs). This seminar presents two equivalence results within multiplier theory. In the first part of the seminar, passivity with multipliers and IQC theory are compared. The p...

The increasing demand for the high fidelity portable devices has laid emphasis on the development of low power and high performance systems. In the next generation processors, the low power design has to be incorporated into fundamental computation units, such as multipliers. The characterization and optimization of such low power multipliers will aid in comparison and choice of multiplier modu...

in this paper, we determine the structure of the space of multipliers of the range of a composition operator cφ that induces by the conditional expectation between two lp() spaces.

0740-7475/98/$10.00 © 1998 IEEE 105 MODULE GENERATORS PROVIDED by library vendors supply chip designers with optimized Booth multipliers, which are widely used as embedded cores in both generalpurpose data path structures and specialized digital signal processors. Designers frequently use Booth multipliers in areaand speedcritical parts of complex ICs. Compared to standard array multipliers, Bo...