2021-10-21T00:21:21Z
https://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=4772
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
08
1
$G$-Frames for operators in Hilbert spaces
Bahram
Dastourian
Mohammad
Janfada
$K$-frames as a generalization of frames were introduced by L. G\u{a}vru\c{t}a to study atomic systems on Hilbert spaces which allows, in a stable way, to reconstruct elements from the range of the bounded linear operator $K$ in a Hilbert space. Recently some generalizations of this concept are introduced and some of its difference with ordinary frames are studied. In this paper, we give a new generalization of $K$-frames. After proving some characterizations of generalized $K$-frames, new results are investigated and some new perturbation results are established. Finally, we give several characterizations of $K$-duals.
$g$-atomic system
$g$-$K$-frame
$g$-$K$-dual
Perturbation
2017
10
01
1
21
https://scma.maragheh.ac.ir/article_23646_5b6f187d7a7e622a7634cf56284bc2c6.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
08
1
Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series
Sanjib Kumar
Datta
Tanmay
Biswas
Jinarul Haque
Shaikh
In this paper, we introduce the idea of generalized Ritt type and generalised Ritt weak type of entire functions represented by a vector valued Dirichlet series. Hence, we study some growth properties of two entire functions represented by a vector valued Dirichlet series on the basis of generalized Ritt type and generalised Ritt weak type.
Vector valued Dirichlet series (VVDS)
Generalized Ritt order
Generalized Ritt lower order
Generalized Ritt-type
Generalized Ritt weak type
growth
2017
10
01
23
32
https://scma.maragheh.ac.ir/article_22636_d44441b3c78ee5e56778a0617e77ab53.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
08
1
Second dual space of little $alpha$-Lipschitz vector-valued operator algebras
Abbasali
Shokri
Let $(X,d)$ be an infinite compact metric space, let $(B,\parallel . \parallel)$ be a unital Banach space, and take $\alpha \in (0,1).$ In this work, at first we define the big and little $\alpha$-Lipschitz vector-valued (B-valued) operator algebras, and consider the little $\alpha$-lipschitz $B$-valued operator algebra, $lip_{\alpha}(X,B)$. Then we characterize its second dual space.
Second dual space
$alpha$-Lipschitz operator
Vector-valued operator
2017
10
01
33
41
https://scma.maragheh.ac.ir/article_23072_37fba52745f4bc2b7c6107415e1dffc2.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
08
1
Generated topology on infinite sets by ultrafilters
Alireza
Bagheri Salec
Let $X$ be an infinite set, equipped with a topology $\tau$. In this paper we studied the relationship between $\tau$, and ultrafilters on $X$. We can discovered, among other thing, some relations of the Robinson's compactness theorem, continuity and the separation axioms. It is important also, aspects of communication between mathematical concepts.
Stone-$check{C}$ech compactification
Axiom of separation
Filter
2017
10
01
43
53
https://scma.maragheh.ac.ir/article_23337_6c78346b95a2ee9f22a0f2d5078a421e.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
08
1
Contra $beta^{*}$-continuous and almost contra $beta^{*}$-continuous functions
Appachi
Vadivel
Radhakrishnan
Ramesh
Duraisamy
Sivakumar
The notion of contra continuous functions was introduced and investigated by Dontchev. In this paper, we apply the notion of $\beta^{*}$-closed sets in topological space to present and study a new class of functions called contra $\beta^{*}$-continuous and almost contra $\beta^{*}$-continuous functions as a new generalization of contra continuity.
$beta^{*}$-closed sets
Contra $beta^{*}$-continuous
Almost contra $beta^{*}$-continuous functions
2017
10
01
55
71
https://scma.maragheh.ac.ir/article_22045_9b9885af1b47833c61470ac4706d0a25.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
08
1
Stability of additive functional equation on discrete quantum semigroups
Maysam
Maysami Sadr
We construct a noncommutative analog of additive functional equations on discrete quantum semigroups and show that this noncommutative functional equation has Hyers-Ulam stability on amenable discrete quantum semigroups. The discrete quantum semigroups that we consider in this paper are in the sense of van Daele, and the amenability is in the sense of Bèdos-Murphy-Tuset. Our main result generalizes a famous and old result due to Forti on the Hyers-Ulam stability of additive functional equations on amenable classical discrete semigroups.
Discrete quantum semigroup
Additive functional equation
Hyers-Ulam stability
Noncommutative geometry
2017
10
01
73
81
https://scma.maragheh.ac.ir/article_22852_a21e351c5081462f3ee9b1f99cdd027a.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
08
1
Compare and contrast between duals of fusion and discrete frames
Elnaz
Osgooei
Ali akbar
Arefijammal
Fusion frames are valuable generalizations of discrete frames. Most concepts of fusion frames are shared by discrete frames. However, the dual setting is so complicated. In particular, unlike discrete frames, two fusion frames are not dual of each other in general. In this paper, we investigate the structure of the duals of fusion frames and discuss the relation between the duals of fusion frames with their associated discrete frames.
Frames
fusion frames
dual fusion frames
2017
10
01
83
96
https://scma.maragheh.ac.ir/article_22412_6e582d16caaf2352781eab207dfc817c.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2017
08
1
Subspace-diskcyclic sequences of linear operators
Mohammad Reza
Azimi
A sequence $\{T_n\}_{n=1}^{\infty}$ of bounded linear operators on a separable infinite dimensional Hilbert space $\mathcal{H}$ is called subspace-diskcyclic with respect to the closed subspace $M\subseteq \mathcal{H},$ if there exists a vector $x\in \mathcal{H}$ such that the disk-scaled orbit $\{\alpha T_n x: n\in \mathbb{N}, \alpha \in\mathbb{C}, | \alpha | \leq 1\}\cap M$ is dense in $M$. The goal of this paper is the studying of subspace diskcyclic sequence of operators like as the well known results in a single operator case. In the first section of this paper, we study some conditions that imply the diskcyclicity of $\{T_n\}_{n=1}^{\infty}$. In the second section, we survey some conditions and subspace-diskcyclicity criterion (analogue the results obtained by some authors in \cite{MR1111569, MR2261697, MR2720700}) which are sufficient for the sequence $\{T_n\}_{n=1}^{\infty}$ to be subspace-diskcyclic(subspace-hypercyclic).
Sequences of operators
Diskcyclic vectors
Subspace-diskcyclicity
Subspace-hypercyclicity
2017
10
01
97
106
https://scma.maragheh.ac.ir/article_23850_39a0664f6ddf12b1b192462ffddd7aaf.pdf