In this paper, we introduce the concept of g-Bessel MULTIPLIERS which generalizes Bessel MULTIPLIERS for g-Bessel sequences and we study the properties of g-Bessel MULTIPLIERS when the symbol m Î l1, lp, l ¥. Also, we review the behavior of these operators when the parameters are changing.Furthermore, we show that equivalent g-frames have equivalent MULTIPLIERS and conversely. Finally, we specialize the results to fusion frames.

In this paper we shall study the MULTIPLIERS on Banach algebras and We prove some results concerning Arens regularity and amenability of the Banach algebra M(A) of all MULTIPLIERS on a given Banach algebra A. We also show that, under special hypotheses, each Jordan multiplier on a Banach algebra without order is a multiplier. Finally, we present some applications of MULTIPLIERS in signal theory, and in particular in earthquake engineering.

Intermediate goods are another produced factor of production, like capital. Considering intermediate goods in production function makes multiplier be even larger than the one. In this paper, based on the approach of Jones (2007,2010) We computed MULTIPLIERS by intermediate goods. For this purpose, we used Input – Output table of Statistical Center of Iran (base year: 2001). Finding show that 10.6% of total products used in inter- sector transaction and 4.28% used in intera-sector transaction. Therefore, the domestic multiplier is 1.383 and import multiplier is 2.117 and total multiplier is 2.929.These results indicate increase in the multiplier. The industrial sector and mining sector produce the most and the lowest share of domestic intermediate goods, respectively. The highest and lowest shares of imported intermediate goods between economic sectors are in industrial sector and water sector, respectively.

In this paper, we prove that every MULTIPLIERS on without order Banach algebra A is almost homomorophisms. Also we investigate the continuity of approximate MULTIPLIERS and under special hypothesis we show that each approximate multiplier T: A⟶ A is continuous.

In this paper, we introduce (p, q)g− Bessel MULTIPLIERS in Banach spaces and we show that under some conditions a (p, q)g− Bessel multiplier is invertible. Also, we show the continuous dependency of (p, q)g− Bessel MULTIPLIERS on their parameters.

Let G be a locally compact abelian group and µ ε M (G) be given. If µ is the product of an invertible and an idempotent measure then the ideal µ * L1 (G) is obviously closed in L1 (G). The problem whether the converse is also true, which was raised by E. Hewitt, has been first studied by I. Glicksberg and later by B. Host and F. Parreau who completely solved it in their impressive paper. Thus µ * L1 (G) is closed in L1 (G) if and only if µ is the product of an invertible and an idempotent measure in M (G). In this paper we study the MULTIPLIERS with closed range on the weighted group algebra L1 (G, ω). We prove among other things that, the Glicksberg-Host-Parreau theorem for group algebras remain valid for regular weighted group algebras.    

Reversible logic is one of the new paradigms for power optimization that can be used instead of the current circuits. Moreover, the fault-tolerance capability in the form of error detection or error correction is a vital aspect for current processing systems. In this paper, as the mult iplication is an important operat ion in computing systems, some novel reversible multiplier designs are proposed with the paritypreserving property which will be useful for error detection. At first, two optimal signed serial MULTIPLIERS are presented based on the Booth’ s algorithm and its enhanced version called the K-algorithm, ut ilizing the new arrangements of reversible gates. Then, another low-cost serial multiplier is proposed based on the conventional Add & Shift method to be ut ilized in the applications in which unsigned numbers are used. Finally, a new signed parallel multiplier is proposed based on the Baugh-Wooley method that is useful for speed-critical applications. The comparative results showed that the proposed mult ipliers are much bet ter than the existing designs regarding the main criterions used in reversible logic circuits including quantum cost, gate count, constant inputs, and garbage outputs.