عنوان رویداد:
دانشگاه کردستان
تاریخ برگزاری : 12 ارديبهشت 1403
We show that every continuous Jordan derivation from U to X is a derivation, where U is a ϕ-Johnson amenable Banach algebra in which ϕ is a non-zero multiplicative linear functionals on U, and X is a Banach U-bimodule such that a.x = ϕ(a)x for all a ∈ U, x ∈ X or x.a = ϕ(a)x for all a ∈ U, x ∈ X. Then we apply our results for character amenable Banach algebras and amenable و...
Let A be a $ C^star $-algebra, and let $ delta , au : mathcal{A} o mathcal{A}^{**}$ be a continuous linear map. We assume that $ delta , au $ acts like a generalized derivation at orthogonal elements for several types of orthogonality conditions such as $ab = 0$, $ab^star = 0$, and $a^star b = 0$. In each case, we characterize the precise f و...
In this paper, we investigate a class of optimal control problems via fractional integro-differential equations. Also, we apply the Ritz method for solving this problem. By this method, the given problem is reduced to the problem for solving a system of algebraic equations using shifted Legendre polynomials basis functions. An approximate solution for this problem is obtain و...
Assume that $mathcal{U}$ is a Banach algebra with unity $1$, and $ heta$ is an continuous automorphism on $mathcal{U}$. We describe a continuous linear map $T: mathcal{U} ightarrow mathcal{U}$ which satisfies: [ x,y in mathcal{U}, , xy =wLongrightarrow heta(x)T(y)=T(x) heta(y)=T(w) ,] where $w eq 0$ is a left (right) separating point of $mathcal{U}$ و...
In frame reconstruction, we are usually dealing with the inverse of a high-dimensional matrix. In this respect, tight frames are simpler and more valuable than other frames. In other words, when we use tight frames, it is not necessary to compute the inverse of their frame operators, and we can reconstruct vectors directly from their own frame elements. Given a frame, how can w و...
Jordan triple θ-centralizers are studied. For a semiprime algebra A, we show that the perturbation of an additive Jordan left triple θ-centralizer is contained in Z(A), the center of A. و...
We consider a Banach algebra $A$, a nonzero element $phi$ in $Delta(A) cup {0}$, and a Banach $A$-bimodule $X$. We investigate ultrapowers denoted as $(A)_{U}$ and $(phi)$, along with treating $(X)_{U}$ as a Banach $(A)_{U}$-bimodule. We analyze $H^1((A)_{U},(X)_{U})$, with the constraint that $(X)_{U} in mathcal{SM}^{(A)_{U}}_{(phi)}$. Moreover, we establish a connection betwe و...
در این مقاله ضمن اشاره به مفاهیم قابهای فیوژن ) همجوش( و قابهای مقیاس پذیر به معرفی قابهای فیوژن مقیاس پذیر می پردازیم و شرایط معادلی را ارائه می کنیم که نشان می دهد مقیاس پذیری یک قاب فیوژن معادل با یک شرط عملگری بین عملگری قطری و عملگرهای تجزیه و ترکیب قاب فیوژن مورد مطالعه می باشد و...
In this paper, we show that the Beurling algebra $L^1(G,omega)$, where $omega$ is a diagonally bounded weight on locally compact group $G$, is zero product and zero Lie product determined. We also prove that the Beurling algebra $L^1(G,omega)$ is zero Jordan product determined, whether $G$ is an amenable group. و...
Suppose that $A$ is a Banach algebra and $F(A)$ is its enveloping dual Banach algebra. We show that $F(A)$ is approximately contractible (approximately amenable) if $A$ has the same property و...
Inductive limits, if they exist in a category, play an important role to yield more new objects. In this paper we show the category of matrix quasi ordered vector spaces is a category with inductive limits. Then we construct the inductive limit in the category of Archimedean quasi ordered vector spaces, independent of Archimedeanization process, too و...
In this paper for given 0 < ε ≤ 1 and natural number k, we introduce ?-infinite frames for k-erasures in infinite dimensional separable Hilbert space H, which are special Parseval frames in H, that have a better reconstruction of a vector, when k its frame coefficients are lost. Some sufficient conditions for a Parseval frame that to be or not to be an ?-infinite frame for و...
This paper explores the generalization of the Stockwell transform to the context of locally compact abelian groups. The Stockwell transform, originally developed for Euclidean spaces, is a powerful tool in time-frequency analysis. Extending its principles to locally compact abelian groups offers a broader mathematical framework for analyzing signals and functions in various set و...
In this paper, we study a notion of left biflatness with respect to a multiplicative linear functional on Banach algebra A. We give a condition which shows the relation between left φ-biflatness and left φ-amenability. Segal algebras, Lebesgue-Fourier algebras and some certain semigroup algebras characterized with respect to the concept of left phi-biflatness. و...
A concept of approximate biprojectivity with respect to a closed ideal I is given for a Banach algebra A. We study group algebras and Fourier algebras under the concept of I-approximate biprojective. Some examples are given which show the differences of our new notion and classical notions of Banach homology و...
The orthogonality of the members of given orthonormal basis in Hilbert spaces playing the central role in the study of R-duals of frames. In the generalization and extension of the concept R-dual to continuous frames, we need to the definition of continuous orthonormal basis but in available definitions the orthogonality condition is not mentioned and cannot be obtained from th و...
In this paper, an alternative construction of $H(X)$ will be presented, where $H$ induced of a functor in Hausdorff qutient category of a topological space $X$ و...
We define a Banach algebra $A$ to possess the $k$-orthogonally additive property ($k$-OAP) if every orthogonally additive $k$-homogeneous polynomial $P:Alongrightarrowmathbb C$ can be represented in the standard form $P(x)=langlegamma, x^k angle$ for some $gammainA^*$, where $xinA$. In this talk we investigate $k$-OAP for the projective tensor product of Banach algebras. و...
This note is focused on merging the notions of g-frame and K-frame in a Hilber C∗-module U for an operator K that belongs to End∗A(U). Here, A refers to a complex C∗- algebra and End∗A(U) refers to the collection of all adjointable A-linear maps on U. This introduces the concept of a continuous K − g−frame for Hilbert C∗-modules, and provides some characterization. و...
For a given fusion frame, one can build local frames for each subspace and putting them together to get global frames. Therefore the connection between the redundancies of local frames and the original fusion frame shall be interesting. In this paper, we will study this connection in some special cases. و...
We give a characterization on ternary derivations of von Neumann algebra. In fact, we prove that every ternary derivation is a spatial ternary derivation. Then we present various applications of this result to determine other types of mappings: (right or left) centralizers and derivations through zero products, local (right or left) centralizers, left/right ideal p و...
The present paper is the first attempt to investigate the hereditary properties between triangular Banach algebras and their corner Banach algebras in terms of module Arens regularity. For this purpose, we will examine the conditions under which the module Arens regularity of triangular Banach algebra $mathcal{T}=Mat{mathcal A}{mathcal M}{mathcal B}$ is obtained fro و...
Recently, the concepts of ideal amenability and quotient ideal amenability of Banach algebras have been proposed. The ideal amenability an important classes of Banach algebras known as triangular Banach algebras has been investigated in some some studies and research. Investigating the quotient ideal amenability of the triangular Banach algebras is a study that h و...
در این مقاله، ضمن مطالعه K − g -قاب های پیوسته در یک فضای هیلبرت ∗C-مدول، K − g - بسل های پیوسته دوگان متناظر را معرفی و برخی خواص آن ها را بررسی می کنیم. و...
Two famous and fundamental concepts in dynamical systems are topologically transitive and topologically mixing. In this paper, we want to show that the range of every topologically transitive operator and mixing operator is dense, and also, the return set of a topologically transitive operator is an infinite subset of $ mathbb{N} $, so both the return sets in topolo و...
. In this paper, we study some homological and cohomological properties of Banach algebras for some ‘p-matrix algebras, say LMp I (C). We give enough and sufficient condition that LMp I (C) has a central approximate identity. Then we characterize pseudo-contractibility of LMp I (C). We prove that, for each non-epty index set I; LMp I (C) is pseudo-amenable. Also we turn o و...