2020
2
1
0
42
1

Toeplitzness of weighted composition operators
http://www.macajournal.com/article_679850.html
10.30495/maca.2020.679850
1
For a bounded analytic map ψ on the unit disk D and analytic selfmap φ of D, a weighted composition operator Cψ,φ on the Hardy space H2=H2(D) is defined by Cψ,φf= ψ·f°φ. In this paper, we study the asymptotically Toeplitzness of weighted composition operators and their adjoints in different topology on B(H2).
0

1
8


Massoud
Salehi Sarvestani
Department of mathematics, Savadkoh Branch, Islamic Azad university, Savadkoh, Iran.
Iran
m.salehisarvestani@gmail.com
Hardy space
asymptotically Toeplitz operator
weighted composition operator
1

A simple method to solve nonlinear VolterraFredholm integrodifferential equations
http://www.macajournal.com/article_679851.html
10.30495/maca.2020.679851
1
In this paper, a new simple direct method to solve nonlinear FredholmVolterra integral equations is presented. By using Blockpulse (BP) functions, their operational matrices and Taylor expansion a nonlinear FredholmVolterra 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.
0

9
16


Mohsen
Mohamadi
Department of mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol,Iran
Iran
m.mohamadi2000@gmail.com


Amir
Shahmari
Department of mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol,Iran
Iran
ashahmari@gmail.com
Nonlinear VolterraFredholm integrodifferential equation
Blockpulse functions
Taylor expansion
Operational matrices
1

The generalized Hyers–Ulam stability of derivations in nonArchimedean Banach algebras
http://www.macajournal.com/article_679852.html
10.30495/maca.2020.679852
1
In this paper, the generalized HyersUlam stability of the functional inequalityf(a)+f(b)+cf(d)+f(c)d≤kf((a+b+cd)/k), k<2,in nonArchimedean Banach algebras is established.
0

17
22


Abolfazl
Niazi Motlagh
Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran.
Iran
a.niazi@ub.ac.ir
Banach algebra
derivation
Generalized HyersUlam stability
NonArchimedean Banach algebra
1

Locally finite inverse semigroups
http://www.macajournal.com/article_679854.html
10.30495/maca.2020.679854
1
In this article, we study locally finite inverse semigroup S and characterize the structure of idempotents of S which are either a wellordered countable chain or union of disjoint wellordered 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.
0

23
27


Somaye
Grailoo Tanha
Esfarayen University of Technology,
Esfarayen, North Khorasan, Iran.
Iran
grailotanha@gmail.com
amenability
inverse semigroup
Clifford semigroup
locally finite semigroup
1

Certain dense subalgebras of continuous vectorvalued operator algebras
http://www.macajournal.com/article_679855.html
10.30495/maca.2020.679855
1
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 Lipα(X,B) be the αLipschitz Bvalued operator algebras on X. In this paper, we prove that the algebras Lip α(X,B) and A(X,B) are dense in C(X,B) under supnorm. Also, we study the relationship between elements of the algebras Lip α(X,B) and A(X,B).
0

28
34


Abbasali
Shokri
Department of Mathematics, Ahar Branch, Islamic Azad University, Ahar, Iran.
Iran
ashokri@iauahar.ac.ir
Dense
Banach algebra
Lipschitz algebra
Vectorvalued operator
1

A new notion of affine sets
http://www.macajournal.com/article_679857.html
10.30495/maca.2020.679857
1
In this paper, we investigate the behaviour of econvex sets and eaffine sets. Moreover, some notions like S(e,a,ρ,α) and eaffine cones are introduced and discussed. We complete with a role of above sets in linear idempotent maps.
0

35
42


Paulraj
Gnanachandra
Centre for Research and Post Graduate Studies in Mathematics,
Ayya Nadar Janaki Ammal College (Autonomous), Sivakasi626124, Tamil Nadu, India
India
pgchandra07@gmail.com


Mohan
Arunkumar
Department of Mathematics, Government Arts College,
Tiruvannamalai606 603, Tamil Nadu, India.
India
annarun2002@gmail.com
Affine sets
econvex sets
econe
eaffine set