2022-05-28T21:57:28Z
http://www.macajournal.com/?_action=export&rf=summon&issue=1135074
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2020
2
1
Toeplitzness of weighted composition operators
Massoud
Salehi Sarvestani
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).
Hardy space
asymptotically Toeplitz operator
weighted composition operator
2020
10
07
1
8
http://www.macajournal.com/article_679850_9db7eedf0ba45d1c154ac176cdcda0b7.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2020
2
1
A simple method to solve nonlinear Volterra-Fredholm integro-differential equations
Mohsen
Mohamadi
Amir
Shahmari
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
2020
10
15
9
16
http://www.macajournal.com/article_679851_ad46a7983a43e1a3b40524926c85c045.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2020
2
1
The generalized Hyers–Ulam stability of derivations in non-Archimedean Banach algebras
Abolfazl
Niazi Motlagh
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.
Banach algebra
derivation
Generalized Hyers-Ulam stability
Non-Archimedean Banach algebra
2020
11
29
17
22
http://www.macajournal.com/article_679852_de31b1247703ab54339d5627fa628ab8.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2020
2
1
Locally finite inverse semigroups
Somaye
Grailoo Tanha
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
2020
11
16
23
27
http://www.macajournal.com/article_679854_5ac3e5597ff0061ee9bb3736fc030560.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2020
2
1
Certain dense subalgebras of continuous vector-valued operator algebras
Abbasali
Shokri
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).
Dense
Banach algebra
Lipschitz algebra
Vector-valued operator
2020
12
16
28
34
http://www.macajournal.com/article_679855_52bad764f50e390f61cd63b662ef82a5.pdf
Mathematical Analysis and its Contemporary Applications
MACA
2716-9890
2716-9890
2020
2
1
A new notion of affine sets
Paulraj
Gnanachandra
Mohan
Arunkumar
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
2020
12
25
35
42
http://www.macajournal.com/article_679857_68002c613d63b1e175cf1f4662ed0e11.pdf