Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
02
2014
06
01
On the construction of symmetric nonnegative matrix with prescribed Ritz values
61
66
EN
A. M.
Nazaria
Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Iran.
a-nazari@araku.ac.ir
E
Afshari
Department of Mathematics, Khomein Branch, Islamic Azad University, Khomein, Iran.
In this paper for a given prescribed Ritz values that satisfy in the some special
conditions, we nd a symmetric nonnegative matrix, such that the given set be its Ritz values.
Ritz values,Nonnegative matrix
http://jlta.iauctb.ac.ir/article_510034.html
http://jlta.iauctb.ac.ir/article_510034_517ebe681c6b757bb36fe9cb83632347.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
02
2014
06
01
Existence and uniqueness of solution of Schrodinger equation in extended Colombeau algebra
67
78
EN
M
Alimohammady
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
amohsen@umz.ac.ir
F
Fattahi
Department of Mathematics, University of Mazandaran, Babolsar, Iran.
In this paper, we establish the existence and uniqueness result of the linear
Schrodinger equation with Marchaud fractional derivative in Colombeau generalized algebra.
The purpose of introducing Marchaud fractional derivative is regularizing it in Colombeau
sense.
Colombeau algebra,Marchaud fractional dierentiation,Schrodinger equation
http://jlta.iauctb.ac.ir/article_510035.html
http://jlta.iauctb.ac.ir/article_510035_c42bfbefe2796bde0219537ed06d07d8.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
02
2014
06
01
Product of normal edge-transitive Cayley graphs
79
85
EN
A
Assari
Department of Basic Science, Jundi-Shapur University of Technology, Dezful, Iran.
amirassari@jsu.ac.ir
For two normal edge-transitive Cayley graphs on groups H and K which have no
common direct factor and gcd(jH=H
′j; jZ(K)j) = 1 = gcd(jK=K
′j; jZ(H)j), we consider four
standard products of them and it is proved that only tensor product of factors can be normal
edge-transitive.
Cayley graph,Normal edge-transitive,Product of graphs
http://jlta.iauctb.ac.ir/article_510036.html
http://jlta.iauctb.ac.ir/article_510036_f4bda704af5dbd54e675114b68316877.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
02
2014
06
01
Compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions
87
105
EN
D
Alimohammadi
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
d-alimohammadi@araku.ac.ir
S
Sedgar
Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
We characterize compact composition operators on real Banach spaces of
complex-valued bounded Lipschitz functions on metric spaces, not necessarily compact, with
Lipschitz involutions and determine their spectra.
Compact operator,composition operator,Lipschitz function,Lipschitz
involution,spectrum of an operator
http://jlta.iauctb.ac.ir/article_510037.html
http://jlta.iauctb.ac.ir/article_510037_f2807132f12a90eefbbe6c9c8d6fd72c.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
02
2014
06
01
Hereditary properties of amenability modulo an ideal of Banach algebras
107
114
EN
H
Rahimi
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran.
rahimi@iauctb.ac.ir
E
Tahmasebi
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran.
In this paper we investigate some hereditary properties of amenability modulo an
ideal of Banach algebras. We show that if (e) is a bounded approximate identity modulo I
of a Banach algebra A and X is a neo-unital modulo I, then (e) is a bounded approximate
identity for X. Moreover we show that amenability modulo an ideal of a Banach algebra A
can be only considered by the neo-unital modulo I Banach algebra over A.
Amenability modulo an ideal,Neo-unital modulo an ideal,Approximate
identity modulo an ideal
http://jlta.iauctb.ac.ir/article_510038.html
http://jlta.iauctb.ac.ir/article_510038_8025eb73aea7884a257164413c18764c.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
03
02
2014
06
01
A generalized cost Malmquist index to compare the productivities of units with negative data in DEA
115
120
EN
G
Tohidi
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
gh tohidi@iauctb.ac.ir
S
Razavyan
Department of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, Iran.
S
Tohidnia
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
In some data envelopment analysis (DEA) applications, some inputs of DMUs
have negative values with positive cost. This paper generalizes the global cost Malmquist
productivity index to compare the productivity of dierent DMUs with negative inputs in
any two periods of times under variable returns to scale (VRS) technology, and then the
generalized index is decomposed to several components. The obtained components are com-
puted using the nonparametric linear programming models, known as DEA. To illustrate the
generalized index and its components, a numerical example at three successive periods of
time is given.
Malmquist index,Circularity,Data Envelopment Analysis (DEA),Cost
eciency,Returns to scale (VRS),Negative data
http://jlta.iauctb.ac.ir/article_510039.html
http://jlta.iauctb.ac.ir/article_510039_8dcc52652aa64f6e533c9e6440294fb1.pdf