Secondary: 20D60, 46L05
In this paper, concept of ’-Gelfand pairs is defined, where ’ is an endomorphism of locally
compact group G such that ’(K) ⊆ K. (K is a compact subgroup of G). Then its properties is
studied, especially, whether the Gelfand pairs theorems, holds for ’-Gelfand pairs is characterized. Also some of the equivalent conditions for ’-Gelfand pairs is looked at, and representations of class one with respect to ’ is introduced
Secondary: 54H20, 37B40
Thomsen in [K. Thomsen, on the ergodic theory of synchronized systems, Ergod. Th. Dynam. Sys. 356 (2006) 1235-1256] considers a synchronized component of a general subshift and investigates the approximation of entropy from inside of this synchronized component by some certain SFT’s. A version of this theorem for half synchronized subshifts has been given. We continue by defining half synchronized entropy and the situation where it is equal to the topological entropy of the system.
*D. Ahmadi Dastjerdi and M. Shahamat
Secondary: 46H25, 46M10
Let A be a Banach algebra and φ♯ be the unique extension of the non-zero functional φ on unitization of A, i. e., A♯, where φ 2 A∗. In this paper, we present a characterization for character Connes amenability of the second dual of Banach algebra A by using a homomorphism θ : A ! A∗∗ with w∗-dense range. Also, the relation among ker φ, ker φ♯ and left identities of Banach algebras A and A♯ is investigated. We generalize this concept to the projective tensor product of unital dual Banach algebras. Some results are also given.
Secondary: 53C15, 53C25
In this paper we first introduce metallic maps between metallic Riemannian manifolds where with some additions conditions these maps will be harmonic. Then we study the constancy of certain maps from metallic Riemannian manifolds to various manifolds by addition condition and geometric structure. Then we consider the reverse case and show that all such maps are constant. Also, we will investigate the problem of integrability for metallic Riemannian structures by using φ-operator. In the end, we find some properties of curvature for metallic Riemannian metric.
In previous methods to estimate cost efficiency using data envelopment analysis, a dominated decision-making unit (DMU) in the production possibility set(PPS) can be introduced as a cost efficiency unit. That is, a DMU may be cost-efficient, but not performance efficient. In this paper, at first, we provide a new definition for a cost-efficient unit, and then a model is presented in which the necessary condition for introducing a cost efficiency of DMU is its parato efficiency
Secondary: 62F07, 62F15
Bayesian inference of the parameters for bathtub-shaped lifetime distribution based on simple random sampling (SRS) and ranked set sampling (RSS) are obtained. The Monte Carlo Markov chain is used, especially MetropolisHastings and Gibbs sampling. To compare different estimates, the Monte Carlo simulations are used. The results of simulation show that the estimators based on RSS are more efficient than based on SRS. Also, the length of highest posterior density (HPD) credible interval based on RSS is shorter than its SRS counterparts. Finally, a real data set has been analyzed for illustrative purposes.
Secondary: 03E02, 03E99
In this paper, we generalized the concept of fuzzy partitions attributed to Dumitrescu  to fuzzy soft partitions based on fuzzy soft equality. Then, some properties relative to fuzzy soft sets operations will be studied. Finally, we introduce some main fuzzy soft partitions of a fuzzy soft set.
Secondary: 37B40; 54H20
We introduce the notion of a minimal generator G for the coded system X; that is a generator for coded system X whenever u 2 G, then u 62 W(< G n fug >). Such an X is called minimally generated system. We aim to introduce a class of minimally generated systems generated by some certain synchronizing blocks. If an irreducible system has at least one synchronizing block, then it is called a synchronized system. A version of a theorem of K. Thomsen (2006) in minimally generated systems has been given. The derived set has been characterized as well.
Secondary: 65F50, 65N22
This paper proposes a local shift-splitting preconditioner for the double saddle point matrices. Some properties of the local shift-splitting preconditioned double saddle point matrix are studied. Finally, numerical experiments of a model Stokes problem are presented to show the effectiveness of the proposed preconditioner.
Secondary: 43A65, 43A99
A Gelfand pair is a pair (G; K) consisting of a group G and a subgroup K (called an Euler subgroup of G) that satisfies a certain property on restricted representations. When G is a locally compact topological group and K is a compact subgroup, (G; K) is a Gelfand pair if and only if the algebra of (K; K)–double invariant compactly supported continuous functions(measures) on G with multiplication defined by convolution is commutative. In studying the concept of Gelfand pairs, the identification of spherical functions is of particular importance. In this paper, the spherical functions of Gelfand pair (G; K) in subspace E1 of L1(G) containing functions of form f ∗ f~ is introduced, where f belonges to Cc(G)(The convolution algebra of continuous, complex-valued functions on G with compact support). Also the characters of E1# have been identified. Finally, by introducing the space Gb# including the bi-K-invariant unitary characters and the space Gd# including bounded spherical functions, the locally compact groups G relatively to Gb#=Gd#, are characterized.