A.I.A University Publishing Group.
Mathematical Analysis and its Contemporary Applications
2716-9890
2716-9898
2
1
2020
10
07
Toeplitzness of weighted composition operators
1
8
EN
Massoud
Salehi Sarvestani
Department of mathematics, Savadkoh Branch, Islamic Azad university, Savadkoh, Iran.
m.salehisarvestani@gmail.com
10.30495/maca.2020.679850
For a bounded analytic map ψ on the unit disk D and analytic self-map φ of D, a weighted composition operator C<sub>ψ,φ</sub> on the Hardy space H<sup>2</sup>=H<sup>2</sup>(D) is defined by C<sub>ψ,φ</sub>f= ψ·f°φ. In this paper, we study the asymptotically Toeplitzness of weighted composition operators and their adjoints in different topology on B(H<sup>2</sup>).
Hardy space,asymptotically Toeplitz operator,weighted composition operator
http://www.macajournal.com/article_679850.html
http://www.macajournal.com/article_679850_9db7eedf0ba45d1c154ac176cdcda0b7.pdf
A.I.A University Publishing Group.
Mathematical Analysis and its Contemporary Applications
2716-9890
2716-9898
2
1
2020
10
15
A simple method to solve nonlinear Volterra-Fredholm integro-differential equations
9
16
EN
Mohsen
Mohamadi
Department of mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol,Iran
m.mohamadi2000@gmail.com
Amir
Shahmari
Department of mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol,Iran
ashahmari@gmail.com
10.30495/maca.2020.679851
In this paper, a new simple direct method to solve nonlinear Fredholm-Volterra integral equations is presented. By using Block-pulse (BP) functions, their operational matrices and Taylor expansion a nonlinear Fredholm-Volterra integral equation converts to a nonlinear system. Some numerical examples illustrate accuracy and reliability of our solutions. Moreover, the effect of noise shows our method is stable.
Nonlinear Volterra-Fredholm integro-differential equation,Block-pulse functions,Taylor expansion,Operational matrices
http://www.macajournal.com/article_679851.html
http://www.macajournal.com/article_679851_ad46a7983a43e1a3b40524926c85c045.pdf
A.I.A University Publishing Group.
Mathematical Analysis and its Contemporary Applications
2716-9890
2716-9898
2
1
2020
11
29
The generalized Hyers–Ulam stability of derivations in non-Archimedean Banach algebras
17
22
EN
Abolfazl
Niazi Motlagh
Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran.
a.niazi@ub.ac.ir
10.30495/maca.2020.679852
In this paper, the generalized Hyers-Ulam stability of the functional inequality<br />||f(a)+f(b)+cf(d)+f(c)d||≤||kf((a+b+cd)/k)||, |k|<|2|,<br />in non-Archimedean Banach algebras is established.
Banach algebra,derivation,Generalized Hyers-Ulam stability,Non-Archimedean Banach algebra
http://www.macajournal.com/article_679852.html
http://www.macajournal.com/article_679852_de31b1247703ab54339d5627fa628ab8.pdf
A.I.A University Publishing Group.
Mathematical Analysis and its Contemporary Applications
2716-9890
2716-9898
2
1
2020
11
16
Locally finite inverse semigroups
23
27
EN
Somaye
Grailoo Tanha
Esfarayen University of Technology,
Esfarayen, North Khorasan, Iran.
grailotanha@gmail.com
10.30495/maca.2020.679854
In this article, we study locally finite inverse semigroup S and characterize the structure of idempotents of S which are either a well-ordered countable chain or union of disjoint well-ordered countable chains. We also prove that whenS is a locally finite Clifford semigroup, S is amenable if and only if minimal ideal of S is amenable.
amenability,inverse semigroup,Clifford semigroup,locally finite semigroup
http://www.macajournal.com/article_679854.html
http://www.macajournal.com/article_679854_5ac3e5597ff0061ee9bb3736fc030560.pdf
A.I.A University Publishing Group.
Mathematical Analysis and its Contemporary Applications
2716-9890
2716-9898
2
1
2020
12
16
Certain dense subalgebras of continuous vector-valued operator algebras
28
34
EN
Abbasali
Shokri
Department of Mathematics, Ahar Branch, Islamic Azad University, Ahar, Iran.
a-shokri@iau-ahar.ac.ir
10.30495/maca.2020.679855
Let X be a compact metric space with at least two elements, B be a unital commutative Banach algebra over the scalar field F=R or C, and α in R with 0<α≤1. Suppose that C(X,B) be the continuous, A(X,B) be the analytic, and Lip<sub>α</sub>(X,B) be the α-Lipschitz B-valued operator algebras on X. In this paper, we prove that the algebras Lip <sub>α</sub>(X,B) and A(X,B) are dense in C(X,B) under sup-norm. Also, we study the relationship between elements of the algebras Lip <sub>α</sub>(X,B) and A(X,B).
Dense,Banach algebra,Lipschitz algebra,Vector-valued operator
http://www.macajournal.com/article_679855.html
http://www.macajournal.com/article_679855_52bad764f50e390f61cd63b662ef82a5.pdf
A.I.A University Publishing Group.
Mathematical Analysis and its Contemporary Applications
2716-9890
2716-9898
2
1
2020
12
25
A new notion of affine sets
35
42
EN
Paulraj
Gnanachandra
Centre for Research and Post Graduate Studies in Mathematics,
Ayya Nadar Janaki Ammal College (Autonomous), Sivakasi-626124, Tamil Nadu, India
pgchandra07@gmail.com
Mohan
Arunkumar
Department of Mathematics, Government Arts College,
Tiruvannamalai-606 603, Tamil Nadu, India.
annarun2002@gmail.com
10.30495/maca.2020.679857
In this paper, we investigate the behaviour of e-convex sets and e-affine sets. Moreover, some notions like S(e,a,ρ,α) and e-affine cones are introduced and discussed. We complete with a role of above sets in linear idempotent maps.
Affine sets,e-convex sets,e-cone,e-affine set
http://www.macajournal.com/article_679857.html
http://www.macajournal.com/article_679857_68002c613d63b1e175cf1f4662ed0e11.pdf