eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-03-01
02
01
1
7
514234
Solved and unsolved problems in generalized notions of Connes amenability
A. Mahmoodi Kebriya
1
Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Tehran, Iran
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 signicance of any solutions to them to the development of the eld.
http://jlta.iauctb.ac.ir/article_514234_4c8d9fa9aaccb6576d0fc86566973078.pdf
Connes amenability
pseudo-Connes amenability
approximate Connes amenability
injectivity
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-03-01
02
01
9
23
514235
The extension of quadrupled fixed point results in K-metric spaces
G. Soleimani Rad
gha.soleimani.sci@iauctb.ac.ir
1
Young 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.
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 spaces without normality condition are proved. Obtained results extend and generalize well-known comparable results in the literature.
http://jlta.iauctb.ac.ir/article_514235_a92f5c539f503b402632a39176e6c45f.pdf
K-metric spaces
Quadrupled fixed point
T-contraction
Sequentially
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-03-01
02
01
25
33
514236
G-Frames, g-orthonormal bases and g-Riesz bases
S. S. Karimizad
1
Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Tehran, Iran
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 if the Gram matrix associated to its denes a bounded operator.
http://jlta.iauctb.ac.ir/article_514236_f51fb20a99740375e57204585ff2e228.pdf
G-frames
G-Bessel sequences
G-orthonormal bases
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-03-01
02
01
35
49
514253
Stochastic Non-Parametric Frontier Analysis
M. Rahmani
1
Gh. Jahanshahloo
2
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran. Iran
In this paper we develop an approach that synthesizes the best features of the two main methods in the estimation of production efficiency. Specically, 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.
http://jlta.iauctb.ac.ir/article_514253_d41d8cd98f00b204e9800998ecf8427e.pdf
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-03-01
02
01
51
57
514254
Expansion of Bessel and g-Bessel sequences to dual frames and dual g-frames
M. S. Asgari
1
G. Kavian
kaviangolsa@yahoo.com
2
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
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 g-frame situation.
http://jlta.iauctb.ac.ir/article_514254_149bc3a6d8625b59d77402ec7844e9b2.pdf
G-frames
dual frames
dual g-frames
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-03-01
02
01
59
65
514255
Computation of the q-th roots of circulant matrices
M. Amirfakhrian
1
P. Mohammadi Khanghah
pmmathematical@yahoo.com
2
Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Tehran, Iran
Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, PO. Code 14168-94351, Tehran, Iran
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.
http://jlta.iauctb.ac.ir/article_514255_467fcc5ff607cd7146f221b5f8235f69.pdf
Circulant matrix
Matrix q-th root
Principle q-th root of circulant matrix
Nonsingular matrix
Reduced form