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
a mahmoodi@iauctb.ac.ir
1
Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Tehran, Iran
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 signicance of any solutions to themto 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 xed 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] dened the conceptof quadrupled xed point in K-metric spaces and proved several quadrupled xed pointtheorems for solid cones on K-metric spaces. In this paper some quadrupled xed point resultsfor T-contraction on K-metric spaces without normality condition are proved. Obtainedresults extend and generalize well-known comparable results in the literature.
http://jlta.iauctb.ac.ir/article_514235_a92f5c539f503b402632a39176e6c45f.pdf
K-metric spaces
Quadrupled xed 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 repre-sentation 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 opera-tors is a g-Bessel sequences if and only if the Gram matrix associated to its denes a boundedoperator.
http://jlta.iauctb.ac.ir/article_514236_f51fb20a99740375e57204585ff2e228.pdf
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
smrds2003@yahoo.com (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.
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 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.
http://jlta.iauctb.ac.ir/article_514254_149bc3a6d8625b59d77402ec7844e9b2.pdf
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 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.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