eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-04-01
04
01
1
9
513810
Upper and lower $alpha(mu_{X},mu_{Y})$-continuous multifunctions
M. Akdag
1
F. Erol
feerol@cumhuriyet.edu.tr
2
Cumhuriyet University Science Faculty Department of Mathematics 58140 S_IVAS / TURKEY
Cumhuriyet University Science Faculty Department of Mathematics 58140 S_IVAS / TURKEY
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.
http://jlta.iauctb.ac.ir/article_513810_ee0fd50351b16789fd9107c0732b9cab.pdf
Generalized open sets
multifunction
generalized continuity
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-04-01
04
01
11
23
513811
Characterization of $G_2(q)$, where $2 < q equiv 1(mod 3)$ by order components
P. Nosratpour
1
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 $G_2(q)$.
http://jlta.iauctb.ac.ir/article_513811_9eba341c74bd3045dee87b9bd0cdef4e.pdf
Prime graph
order component
linear group
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-04-01
04
01
25
34
513812
Frames for compressed sensing using coherence
L. Gavruta
1
G. Zamani Eskandani
2
P. Gavruta
pgavruta@yahoo.com
3
Politehnica University of Timisoara, Department of Mathematics, Piata Victoriei no.2, 300006 Timisoara, Romania
Faculty of Sciences, Department of Mathematics, University of Tabriz, Tabriz, Iran
Politehnica University of Timisoara, Department of Mathematics, Piata Victoriei no.2, 300006 Timisoara, Romania
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.
http://jlta.iauctb.ac.ir/article_513812_d615ca1c21b4cd708b5612bb7022dc99.pdf
coherence
compressed sensing
frames
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-04-01
04
01
35
42
513813
The solutions to some operator equations in Hilbert $C^*$-module
M. Mohammadzadeh Karizaki
mohammadzadehkarizaki@gmail.com
1
M. Hassani
mhassanimath@gmail.com
2
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
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 $TXS^*-SX^*T^*= A$.
http://jlta.iauctb.ac.ir/article_513813_951b3470a1795ef1334304ce53162f13.pdf
Operator equation
Moore-Penrose inverse
Complemented submodule, Closed range, Hilbert C*-module
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-04-15
04
01
43
52
513814
Numerical solution of Fredholm integral-differential equations on unbounded domain
M. Matinfar
m.matinfar@umz.ac.ir
1
A. Riahifar
2
Department of Mathematics, University of Mazandaran, Babolsar, PO. Code 47416-95447, Iran
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.
http://jlta.iauctb.ac.ir/article_513814_a72d44cf0986fe41d522e4eb91500748.pdf
Fredholm integro-differential equations
unbounded domain
generalized Laguerre polynomials
Operational matrices
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-04-01
04
01
53
63
513815
On duality of modular G-Riesz bases and G-Riesz bases in Hilbert C*-modules
M. Rashidi-Kouchi
m_rashidi@kahnoojiau.ac.ir
1
Young Researchers and Elite Club Kahnooj Branch, Islamic Azad University, Kerman, Iran
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_1265191a1504d3221d0d238b3de41d30.pdf
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2015-04-13
04
01
65
85
513816
Fixed Point Theorems for semi $lambda$-subadmissible Contractions in b-Metric spaces
R. J. Shahkoohi
1
A. Razani
razani@ipm.ir
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
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.
http://jlta.iauctb.ac.ir/article_513816_39494436ccf276e6a17420f6d565b1e1.pdf
Fixed point
b-metric