Toeplitzness of weighted composition operators
Massoud
Salehi Sarvestani
Department of mathematics, Savadkoh Branch, Islamic Azad university, Savadkoh, Iran.
author
text
article
2020
eng
For a bounded analytic map ψ on the unit disk D and analytic self-map 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).
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
2
v.
1
no.
2020
1
8
http://www.macajournal.com/article_679850_9db7eedf0ba45d1c154ac176cdcda0b7.pdf
dx.doi.org/10.30495/maca.2020.679850
A simple method to solve nonlinear Volterra-Fredholm integro-differential equations
Mohsen
Mohamadi
Department of mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol,Iran
author
Amir
Shahmari
Department of mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol,Iran
author
text
article
2020
eng
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.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
2
v.
1
no.
2020
9
16
http://www.macajournal.com/article_679851_ad46a7983a43e1a3b40524926c85c045.pdf
dx.doi.org/10.30495/maca.2020.679851
The generalized Hyers–Ulam stability of derivations in non-Archimedean Banach algebras
Abolfazl
Niazi Motlagh
Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran.
author
text
article
2020
eng
In this paper, the generalized Hyers-Ulam stability of the functional inequality||f(a)+f(b)+cf(d)+f(c)d||≤||kf((a+b+cd)/k)||, |k|<|2|,in non-Archimedean Banach algebras is established.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
2
v.
1
no.
2020
17
22
http://www.macajournal.com/article_679852_de31b1247703ab54339d5627fa628ab8.pdf
dx.doi.org/10.30495/maca.2020.679852
Locally finite inverse semigroups
Somaye
Grailoo Tanha
Esfarayen University of Technology,
Esfarayen, North Khorasan, Iran.
author
text
article
2020
eng
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.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
2
v.
1
no.
2020
23
27
http://www.macajournal.com/article_679854_5ac3e5597ff0061ee9bb3736fc030560.pdf
dx.doi.org/10.30495/maca.2020.679854
Certain dense subalgebras of continuous vector-valued operator algebras
Abbasali
Shokri
Department of Mathematics, Ahar Branch, Islamic Azad University, Ahar, Iran.
author
text
article
2020
eng
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 α-Lipschitz B-valued 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 sup-norm. Also, we study the relationship between elements of the algebras Lip α(X,B) and A(X,B).
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
2
v.
1
no.
2020
28
34
http://www.macajournal.com/article_679855_52bad764f50e390f61cd63b662ef82a5.pdf
dx.doi.org/10.30495/maca.2020.679855
A new notion of affine sets
Paulraj
Gnanachandra
Centre for Research and Post Graduate Studies in Mathematics,
Ayya Nadar Janaki Ammal College (Autonomous), Sivakasi-626124, Tamil Nadu, India
author
Mohan
Arunkumar
Department of Mathematics, Government Arts College,
Tiruvannamalai-606 603, Tamil Nadu, India.
author
text
article
2020
eng
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.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
2
v.
1
no.
2020
35
42
http://www.macajournal.com/article_679857_68002c613d63b1e175cf1f4662ed0e11.pdf
dx.doi.org/10.30495/maca.2020.679857