Research Paper
1. Solved and unsolved problems in generalized notions of Connes amenability

A. Mahmoodi Kebriya

Volume 02, Issue 01 , Winter 2013, Pages 1-7

Abstract
  We 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 signi cance of any solutions to them to the development of the ...  Read More

Research Paper
2. The extension of quadrupled fixed point results in K-metric spaces

G. Soleimani Rad

Volume 02, Issue 01 , Winter 2013, Pages 9-23

Abstract
  Recently, 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 ...  Read More

Research Paper
3. G-Frames, g-orthonormal bases and g-Riesz bases

S. S. Karimizad

Volume 02, Issue 01 , Winter 2013, Pages 25-33

Abstract
  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 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 ...  Read More

Research Paper
4. Stochastic Non-Parametric Frontier Analysis

M. Rahmani; Gh. Jahanshahloo

Volume 02, Issue 01 , Winter 2013, Pages 35-49

Abstract
  In this paper we develop an approach that synthesizes the best features of the two main methods in the estimation of production efficiency. Speci cally, our approach first allows for statistical noise, similar to Stochastic frontier analysis, and second, it allows modeling multiple-inputs-multiple-outputs ...  Read More

Research Paper
5. Expansion of Bessel and g-Bessel sequences to dual frames and dual g-frames

M. S. Asgari; G. Kavian

Volume 02, Issue 01 , Winter 2013, Pages 51-57

Abstract
  In 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 ...  Read More

Research Paper
6. Computation of the q-th roots of circulant matrices

M. Amirfakhrian; P. Mohammadi Khanghah

Volume 02, Issue 01 , Winter 2013, Pages 59-65

Abstract
  In 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.  Read More