Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201030220140925On the construction of symmetric nonnegative matrix with prescribed Ritz values6166510034ENA. M.NazariaDepartment of Mathematics, Arak University, P.O. Box 38156-8-8349, IranE.AfshariDepartment of Mathematics, Khomein Branch, Islamic Azad University, Khomein, IranJournal Article20140725In this paper for a given prescribed Ritz values that satisfy in the some special conditions, we find a symmetric nonnegative matrix, such that the given set be its Ritz values.http://jlta.iauctb.ac.ir/article_510034_517ebe681c6b757bb36fe9cb83632347.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201030220141001Existence and uniqueness of solution of Schrodinger equation in extended Colombeau algebra6778510035ENM.AlimohammadyDepartment of Mathematics, University of Mazandaran, Babolsar, IranF.FattahiDepartment of Mathematics, University of Mazandaran, Babolsar, IranJournal Article20140621In 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.http://jlta.iauctb.ac.ir/article_510035_c42bfbefe2796bde0219537ed06d07d8.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201030220140927Product of normal edge-transitive Cayley graphs7985510036ENA.AssariDepartment of Basic Science, Jundi-Shapur University of Technology, Dezful, IranJournal Article20140716For two normal edge-transitive Cayley graphs on groups H and K which have no common direct factor and $gcd(|H/H^prime|,|Z(K)|)=1=gcd(|K/K^prime|,|Z(H)|)$, we consider four standard products of them and it is proved that only tensor product of factors can be normal edge-transitive.http://jlta.iauctb.ac.ir/article_510036_f4bda704af5dbd54e675114b68316877.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201030220141012Compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions87105510037END.AlimohammadiDepartment of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, IranS.SefidgarDepartment of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, IranJournal Article20140728We 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.http://jlta.iauctb.ac.ir/article_510037_f2807132f12a90eefbbe6c9c8d6fd72c.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201030220141004Hereditary properties of amenability modulo an ideal of Banach algebras107114510038ENH.RahimiDepartment of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, IranE.TahmasebiDepartment of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, IranJournal Article20140708In this paper we investigate some hereditary properties of amenability modulo an ideal of Banach algebras. We show that if $(e_alpha)_alpha$ is a bounded approximate identity modulo I of a Banach algebra A and X is a neo-unital modulo I, then $(e_alpha)_alpha$ 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.http://jlta.iauctb.ac.ir/article_510038_8025eb73aea7884a257164413c18764c.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201030220140929A generalized cost Malmquist index to compare the productivities of units with negative data in DEA115120510039ENG.TohidiDepartment of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, IranS.RazavyanDepartment of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, IranS.TohidniaDepartment of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, IranJournal Article20140709In 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 computed 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.http://jlta.iauctb.ac.ir/article_510039_8dcc52652aa64f6e533c9e6440294fb1.pdf