Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201020120130301Solved and unsolved problems in generalized notions of Connes amenability17514234ENA. Mahmoodi KebriyaDepartment of Mathematics, Faculty of Science, Islamic Azad University,
Central Tehran Branch, Tehran, IranJournal Article20130101We survey the recent investigations on (bounded, sequential) approximate Connes amenability and pseudo-Connes amenability for dual Banach algebras. We will discuss the core problems concerning these notions and address the signicance of any solutions to them to the development of the eld.Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201020120130301The extension of quadrupled fixed point results in K-metric spaces923514235ENG. Soleimani RadYoung Researchers and Elite club, Central Tehran Branch,
Islamic Azad University, Tehran, Iran
Department of Mathematics, Faculty of Science, Islamic Azad University,
Central Tehran Branch, PO. Code 13185-768, Tehran, Iran.Journal Article20130101Recently, Rahimi et al. [Comp. Appl. Math. 2013, In press] defined the concept of quadrupled fied point in K-metric spaces and proved several quadrupled fixed point theorems for solid cones on K-metric spaces. In this paper some quadrupled fixed point results for T-contraction on K-metric spaces without normality condition are proved. Obtained results extend and generalize well-known comparable results in the literature.Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201020120130301G-Frames, g-orthonormal bases and g-Riesz bases2533514236ENS. S. KarimizadDepartment of Mathematics, Faculty of Science, Islamic Azad University,
Central Tehran Branch, Tehran, IranJournal Article20130101G-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 between g-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 denes a bounded operator.Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201020120130301Stochastic Non-Parametric Frontier Analysis3549514253ENM. RahmaniDepartment of Mathematics, Science and Research Branch,
Islamic Azad University, Tehran, IranGh. JahanshahlooDepartment of Mathematics, Science and Research Branch,
Islamic Azad University, Tehran. IranJournal Article20130101<span>In this paper we develop an approach that synthesizes the best features of the two </span><span>main methods in the estimation of production efficiency. Specically, our approach first allows </span><span>for statistical noise, similar to Stochastic frontier analysis, and second, it allows modeling </span><span>multiple-inputs-multiple-outputs technologies without imposing parametric assumptions on </span><span>production relationship, similar to what is done in non-parametric methods. The methodology </span><span>is based on the theory of local maximum likelihood estimation and extends recent works </span><span>of Kumbhakar et al. We will use local-spherical coordinate system to transform multi-input </span><span>multi-output data to more exible system which we can use in our approach.We also illustrate </span><span>the performance of our approach with simulated example.</span>Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201020120130301Expansion of Bessel and g-Bessel sequences to dual frames and dual g-frames5157514254ENM. S. AsgariDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranG. KavianDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranJournal Article20130101In 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.Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201020120130301Computation of the q-th roots of circulant matrices5965514255ENM. AmirfakhrianDepartment of Mathematics, Faculty of Science, Islamic Azad University,
Central Tehran Branch, PO. Code 14168-94351,
Tehran, IranP. Mohammadi KhanghahDepartment of Mathematics, Faculty of Science, Islamic Azad University,
Central Tehran Branch, PO. Code 14168-94351,
Tehran, IranJournal Article20130101In this paper, we investigate the reduced form of circulant matrices and we show that the problem of computing the q-th roots of a nonsingular circulant matrix A can be reduced to that of computing the q-th roots of two half size matrices B - C and B + C.<br /><br />