@article {
author = {Salehi Sarvestani, Massoud},
title = {Toeplitzness of weighted composition operators},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {2},
number = {1},
pages = {1-8},
year = {2020},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {10.30495/maca.2020.679850},
abstract = {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).},
keywords = {Hardy space,asymptotically Toeplitz operator,weighted composition operator},
url = {http://www.macajournal.com/article_679850.html},
eprint = {http://www.macajournal.com/article_679850_9db7eedf0ba45d1c154ac176cdcda0b7.pdf}
}
@article {
author = {Mohamadi, Mohsen and Shahmari, Amir},
title = {A simple method to solve nonlinear Volterra-Fredholm integro-differential equations},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {2},
number = {1},
pages = {9-16},
year = {2020},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {10.30495/maca.2020.679851},
abstract = {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.},
keywords = {Nonlinear Volterra-Fredholm integro-differential equation,Block-pulse functions,Taylor expansion,Operational matrices},
url = {http://www.macajournal.com/article_679851.html},
eprint = {http://www.macajournal.com/article_679851_ad46a7983a43e1a3b40524926c85c045.pdf}
}
@article {
author = {Niazi Motlagh, Abolfazl},
title = {The generalized Hyers–Ulam stability of derivations in non-Archimedean Banach algebras},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {2},
number = {1},
pages = {17-22},
year = {2020},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {10.30495/maca.2020.679852},
abstract = {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.},
keywords = {Banach algebra,derivation,Generalized Hyers-Ulam stability,Non-Archimedean Banach algebra},
url = {http://www.macajournal.com/article_679852.html},
eprint = {http://www.macajournal.com/article_679852_de31b1247703ab54339d5627fa628ab8.pdf}
}
@article {
author = {Grailoo Tanha, Somaye},
title = {Locally finite inverse semigroups},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {2},
number = {1},
pages = {23-27},
year = {2020},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {10.30495/maca.2020.679854},
abstract = {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.},
keywords = {amenability,inverse semigroup,Clifford semigroup,locally finite semigroup},
url = {http://www.macajournal.com/article_679854.html},
eprint = {http://www.macajournal.com/article_679854_5ac3e5597ff0061ee9bb3736fc030560.pdf}
}
@article {
author = {Shokri, Abbasali},
title = {Certain dense subalgebras of continuous vector-valued operator algebras},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {2},
number = {1},
pages = {28-34},
year = {2020},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {10.30495/maca.2020.679855},
abstract = {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).},
keywords = {Dense,Banach algebra,Lipschitz algebra,Vector-valued operator},
url = {http://www.macajournal.com/article_679855.html},
eprint = {http://www.macajournal.com/article_679855_52bad764f50e390f61cd63b662ef82a5.pdf}
}
@article {
author = {Gnanachandra, Paulraj and Arunkumar, Mohan},
title = {A new notion of affine sets},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {2},
number = {1},
pages = {35-42},
year = {2020},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {10.30495/maca.2020.679857},
abstract = {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.},
keywords = {Affine sets,e-convex sets,e-cone,e-affine set},
url = {http://www.macajournal.com/article_679857.html},
eprint = {http://www.macajournal.com/article_679857_68002c613d63b1e175cf1f4662ed0e11.pdf}
}