Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
01
2015
04
01
Upper and lower $alpha(mu_{X},mu_{Y})$-continuous multifunctions
1
9
EN
M.
Akdag
Cumhuriyet University Science Faculty Department of Mathematics
58140 S_IVAS / TURKEY
F.
Erol
Cumhuriyet University Science Faculty Department of Mathematics
58140 S_IVAS / TURKEY
feerol@cumhuriyet.edu.tr
In this paper, a new class of multifunctions, called generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions, has been dened and studied. Some characterizations and several properties concerning generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions are obtained. The relationships between generalized $alpha(mu_{X},mu_{Y})$-continuous multifunctions and some known concepts are also discussed.
Generalized open sets,multifunction,generalized continuity
http://jlta.iauctb.ac.ir/article_513810.html
http://jlta.iauctb.ac.ir/article_513810_ee0fd50351b16789fd9107c0732b9cab.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
01
2015
04
01
Characterization of $G_2(q)$, where $2 < q equiv 1(mod 3)$ by order components
11
23
EN
P.
Nosratpour
Department of Mathematics, Ilam Branch,
Islamic Azad University, Ilam, Iran
In this paper we will prove that the simple group $G_2(q)$, where $2 < q equiv 1(mod3)$ is recognizable by the set of its order components, also other word we prove that if $G$ is a finite group with $OC(G)=OC(G_2(q))$, then $G$ is isomorphic to $G_2(q)$.
prime graph,order component,linear group
http://jlta.iauctb.ac.ir/article_513811.html
http://jlta.iauctb.ac.ir/article_513811_9eba341c74bd3045dee87b9bd0cdef4e.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
01
2015
04
01
Frames for compressed sensing using coherence
25
34
EN
L.
Gavruta
Politehnica University of Timisoara, Department of Mathematics,
Piata Victoriei no.2, 300006 Timisoara, Romania
G.
Zamani Eskandani
Faculty of Sciences, Department of Mathematics, University of Tabriz,
Tabriz, Iran
P.
Gavruta
Politehnica University of Timisoara, Department of Mathematics,
Piata Victoriei no.2, 300006 Timisoara, Romania
pgavruta@yahoo.com
We give some new results on sparse signal recovery in the presence of noise, for weighted spaces. Traditionally, were used dictionaries that have the norm equal to 1, but, for random dictionaries this condition is rarely satised. Moreover, we give better estimations then the ones given recently by Cai, Wang and Xu.
coherence,compressed sensing,frames
http://jlta.iauctb.ac.ir/article_513812.html
http://jlta.iauctb.ac.ir/article_513812_d615ca1c21b4cd708b5612bb7022dc99.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
01
2015
04
01
The solutions to some operator equations in Hilbert $C^*$-module
35
42
EN
M.
Mohammadzadeh Karizaki
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
mohammadzadehkarizaki@gmail.com
M.
Hassani
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
mhassanimath@gmail.com
In this paper, we state some results on product of operators with closed ranges and we solve the operator equation $TXS^*-SX^*T^*= A$ in the general setting of the adjointable operators between Hilbert $C^*$-modules, when $TS = 1$. Furthermore, by using some block operator matrix techniques, we nd explicit solution of the operator equation $TXS^*-SX^*T^*= A$.
Operator equation,Moore-Penrose inverse,Complemented submodule, Closed range, Hilbert C*-module
http://jlta.iauctb.ac.ir/article_513813.html
http://jlta.iauctb.ac.ir/article_513813_951b3470a1795ef1334304ce53162f13.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
01
2015
04
15
Numerical solution of Fredholm integral-differential equations on unbounded domain
43
52
EN
M.
Matinfar
Department of Mathematics, University of Mazandaran, Babolsar,
PO. Code 47416-95447, Iran
m.matinfar@umz.ac.ir
A.
Riahifar
Department of Mathematics, Islamic Azad University, Chalus Branch,
PO. Code 46615-397, Iran
In this study, a new and efficient approach is presented for numerical solution of Fredholm integro-differential equations (FIDEs) of the second kind on unbounded domain with degenerate kernel based on operational matrices with respect to generalized Laguerre polynomials(GLPs). Properties of these polynomials and operational matrices of integration, differentiation are introduced and are ultilized to reduce the (FIDEs) to the solution of a system of linear algebraic equations with unknown generalized Laguerre coefficients. In addition, two examples are given to demonstrate the validity, efficiency and applicability of the technique.
Fredholm integro-differential equations,unbounded domain,generalized Laguerre polynomials,Operational matrices
http://jlta.iauctb.ac.ir/article_513814.html
http://jlta.iauctb.ac.ir/article_513814_a72d44cf0986fe41d522e4eb91500748.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
01
2015
04
01
On duality of modular G-Riesz bases and G-Riesz bases in Hilbert C*-modules
53
63
EN
M.
Rashidi-Kouchi
Young Researchers and Elite Club
Kahnooj Branch, Islamic Azad University, Kerman, Iran
m_rashidi@kahnoojiau.ac.ir
In this paper, we investigate duality of modular g-Riesz bases and g-Riesz bases in Hilbert C*-modules. First we give some characterization of g-Riesz bases in Hilbert C*-modules, by using properties of operator theory. Next, we characterize the duals of a given g-Riesz basis in Hilbert C*-module. In addition, we obtain sufficient and necessary condition for a dual of a g-Riesz basis to be again a g-Riesz basis. We nd a situation for a g-Riesz basis to have unique dual g-Riesz basis. Also, we show that every modular g-Riesz basis is a g-Riesz basis in Hilbert C*-module but the opposite implication is not true.
http://jlta.iauctb.ac.ir/article_513815.html
http://jlta.iauctb.ac.ir/article_513815_1265191a1504d3221d0d238b3de41d30.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
04
01
2015
04
13
Fixed Point Theorems for semi $lambda$-subadmissible Contractions in b-Metric spaces
65
85
EN
R. J.
Shahkoohi
Department of Mathematics, Science and Research Branch,
Islamic Azad University, Tehran, Iran
A.
Razani
Department of Mathematics, Science and Research Branch,
Islamic Azad University, Tehran, Iran
razani@ipm.ir
Here, a new certain class of contractive mappings in the b-metric spaces is introduced. Some fixed point theorems are proved which generalize and modify the recent results in the literature. As an application, some results in the b-metric spaces endowed with a partial ordered are proved.
fixed point,b-metric
http://jlta.iauctb.ac.ir/article_513816.html
http://jlta.iauctb.ac.ir/article_513816_39494436ccf276e6a17420f6d565b1e1.pdf