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  • List of Articles


      • Open Access Article

        1 - Solved and unsolved problems in generalized notions of Connes amenability
        A. Mahmoodi Kebriya
        We survey the recent investigations on (bounded, sequential) approximate Connesamenability and pseudo-Connes amenability for dual Banach algebras. We will discuss thecore problems concerning these notions and address the signi cance of any solutions to themto the develo More
        We survey the recent investigations on (bounded, sequential) approximate Connesamenability and pseudo-Connes amenability for dual Banach algebras. We will discuss thecore problems concerning these notions and address the signi cance of any solutions to themto the development of the eld. Manuscript profile
      • Open Access Article

        2 - The extension of quadrupled fixed point results in K-metric spaces
        G. Soleimani Rad
        Recently, Rahimi et al. [Comp. Appl. Math. 2013, In press] defined the conceptof quadrupled fied point in K-metric spaces and proved several quadrupled fixed pointtheorems for solid cones on K-metric spaces. In this paper some quadrupled fixed point resultsfor T-contrac More
        Recently, Rahimi et al. [Comp. Appl. Math. 2013, In press] defined the conceptof quadrupled fied point in K-metric spaces and proved several quadrupled fixed pointtheorems for solid cones on K-metric spaces. In this paper some quadrupled fixed point resultsfor T-contraction on K-metric spaces without normality condition are proved. Obtainedresults extend and generalize well-known comparable results in the literature. Manuscript profile
      • Open Access Article

        3 - G-Frames, g-orthonormal bases and g-Riesz bases
        S. S. Karimizad
        G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection betweeng-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-B More
        G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection betweeng-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its de nes a boundedoperator. Manuscript profile
      • Open Access Article

        4 - Stochastic Non-Parametric Frontier Analysis
        M. Rahmani Gh. Jahanshahloo
        In this paper we develop an approach that synthesizes the best features of the two main methods in the estimation of production efficiency. Specifically, our approach first allows for statistical noise, similar to Stochastic frontier analysis, and second, it allows mode More
        In this paper we develop an approach that synthesizes the best features of the two main methods in the estimation of production efficiency. Specifically, our approach first allows for statistical noise, similar to Stochastic frontier analysis, and second, it allows modeling multiple-inputs-multiple-outputs technologies without imposing parametric assumptions on production relationship, similar to what is done in non-parametric methods. The methodology is based on the theory of local maximum likelihood estimation and extends recent works of Kumbhakar et al. We will use local-spherical coordinate system to transform multi-input multi-output data to more exible system which we can use in our approach.We also illustrate the performance of our approach with simulated example. Manuscript profile
      • Open Access Article

        5 - Expansion of Bessel and g-Bessel sequences to dual frames and dual g-frames
        M. S. Asgari G. Kavian
        In this paper we study the duality of Bessel and g-Bessel sequences in Hilbertspaces. We show that a Bessel sequence is an inner summand of a frame and the sum of anyBessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next wedevelop this re More
        In this paper we study the duality of Bessel and g-Bessel sequences in Hilbertspaces. We show that a Bessel sequence is an inner summand of a frame and the sum of anyBessel sequence with Bessel bound less than one with a Parseval frame is a frame. Next wedevelop this results to the g-frame situation. Manuscript profile
      • Open Access Article

        6 - Computation of the q-th roots of circulant matrices
        M. Amirfakhrian P. Mohammadi Khanghah
        In this paper, we investigate the reduced form of circulant matrices and we showthat the problem of computing the q-th roots of a nonsingular circulant matrix A can bereduced to that of computing the q-th roots of two half size matrices B - C and B + C.
        In this paper, we investigate the reduced form of circulant matrices and we showthat the problem of computing the q-th roots of a nonsingular circulant matrix A can bereduced to that of computing the q-th roots of two half size matrices B - C and B + C. Manuscript profile