Arens-irregularity of tensor product of Banach algebras
T.
Yazdanpanah
aDepartment of Mathematics, Persian Gulf University, Boushehr, 75168, Iran.
author
R.
Gharibi
aDepartment of Mathematics, Persian Gulf University, Boushehr, 75168, Iran.
author
text
article
2014
eng
We introduce Banach algebras arising from tensor norms. By these Banach algebras we make Arensregular Banach algebras such that tensor product becomes irregular, where is tensor norm. Weillustrate injective tensor product, does not preserve bounded approximate identity and it is notalgebra norm.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
1 (Special Issue)
no.
2014
1
8
https://ijnaa.semnan.ac.ir/article_110_b4abcb01c04089ee8011111f76b3eb00.pdf
dx.doi.org/10.22075/ijnaa.2014.110
Certain subalgebras of Lipschitz algebras of infinitely differentiable functions and their maximal ideal spaces
D.
Alimohammadi
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran.
author
F.
Nezamabadi
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran.
author
text
article
2014
eng
We study an interesting class of Banach function algebras of innitely dierentiable functions onperfect, compact plane sets. These algebras were introduced by Honary and Mahyar in 1999, calledLipschitz algebras of innitely dierentiable functions and denoted by Lip(X;M; ), where X is aperfect, compact plane set, M = fMng1n=0 is a sequence of positive numbers such that M0 = 1 and(m+n)!Mm+n ( m!Mm)( n!Mn) for m; n 2 N [ f0g and 2 (0; 1]. Let d = lim sup( n!Mn)1n and Xd = fz 2 C :dist(z;X) dg. Let LipP;d(X;M; )[LipR;d(X;M; )] be the subalgebra of all f 2 Lip(X;M; )that can be approximated by the restriction to Xd of polynomials [rational functions with poles oXd]. We show that the maximal ideal space of LipP;d(X;M; ) is cXd, the polynomially convex hullof Xd, and the maximal ideal space of LipR;d(X;M; ) is Xd, for certain compact plane sets.. Usingsome formulae from combinatorial analysis, we nd the maximal ideal space of certain subalgebrasof Lipschitz algebras of innitely dierentiable functions.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
1 (Special Issue)
no.
2014
9
22
https://ijnaa.semnan.ac.ir/article_111_3aee2736a32d307e34b4d8bc34fafb5a.pdf
dx.doi.org/10.22075/ijnaa.2014.111
Ternary (\sigma,\tau,\xi)-derivations on Banach ternary algebras
M.
Eshaghi Gordji
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
author
F.
Farrokhzad
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
author
S.A.R.
Hosseinioun
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA.
author
text
article
2014
eng
Let A be a Banach ternary algebra over a scalar eld R or C and X be a Banach ternary A-module.Let ; and be linear mappings on A, a linear mapping D : (A; [ ]A) ! (X; [ ]X) is called a ternary(; ; )-derivation, ifD([xyz]A) = [D(x) (y)(z)]X + [(x)D(y)(z)]X + [(x) (y)D(z)]Xfor all x; y; z 2 A.In this paper, we investigate ternary (; ; )-derivation on Banach ternary algebras, associatedwith the following functional equationf(x + y + z4) + f(3x y 4z4) + f(4x + 3z4) = 2f(x) :Moreover, we prove the generalized Ulam{Hyers stability of ternary (; ; )-derivations on Banachternary algebras.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
1 (Special Issue)
no.
2014
23
35
https://ijnaa.semnan.ac.ir/article_112_ecfffaca50a5c1a9f09e21fc58595127.pdf
dx.doi.org/10.22075/ijnaa.2014.112
Contractive maps in Mustafa-Sims metric spaces
M.
Turinici
"A. Myller" Mathematical Seminar, "A. I. Cuza" University, 700506 Iasi, Romania.
author
text
article
2014
eng
The xed point result in Mustafa-Sims metrical structures obtained by Karapinar and Agarwal[Fixed Point Th. Appl., 2013, 2013:154] is deductible from a corresponding one stated in terms ofanticipative contractions over the associated (standard) metric space.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
1 (Special Issue)
no.
2014
36
53
https://ijnaa.semnan.ac.ir/article_113_0b35677d1efa6cc2becda06023b6e04d.pdf
dx.doi.org/10.22075/ijnaa.2014.113
Tripled partially ordered sets
M.
Eshaghi
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran
author
A.
Jabbari
Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran
author
S.
Mohseni
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
author
text
article
2014
eng
In this paper, we introduce tripled partially ordered sets and monotone functions on tripled partiallyordered sets. Some basic properties on these new dened sets are studied and some examples forclarifying are given.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
1 (Special Issue)
no.
2014
54
63
https://ijnaa.semnan.ac.ir/article_114_42e7a53b23613e649516a8991bc7f54e.pdf
dx.doi.org/10.22075/ijnaa.2014.114
A fixed point result for a new class of set-valued contractions
A.
Sadeghi Hafjejani
Department of Mathematics, University of Shahrekord,
Shahrekord, 88186-34141, Iran.
author
A.
Amini Harandi
Department of Mathematics, University of Shahrekord,
Shahrekord, 88186-34141, Iran.
author
text
article
2014
eng
In this paper, we introduce a new class of set-valued contractions and obtain a xed point theoremfor such mappings in complete metric spaces. Our main result generalizes and improves many well-known xed point theorems in the literature.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
1 (Special Issue)
no.
2014
64
70
https://ijnaa.semnan.ac.ir/article_115_04704abdd8d440603dc84fa5e05cfff9.pdf
dx.doi.org/10.22075/ijnaa.2014.115
On a more accurate multiple Hilbert-type inequality
Q.
Huang
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China.
author
B.
Yang
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China.
author
text
article
2014
eng
By using Euler-Maclaurin's summation formula and the way of real analysis, a more accurate multipleHilbert-type inequality and the equivalent form are given. We also prove that the same constantfactor in the equivalent inequalities is the best possible.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
1 (Special Issue)
no.
2014
71
79
https://ijnaa.semnan.ac.ir/article_116_ea3df0090bfbe87b3cfe918003fb4766.pdf
dx.doi.org/10.22075/ijnaa.2014.116
A multidimensional discrete Hilbert-type inequality
B.
Yang
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China.
author
text
article
2014
eng
In this paper, by using the way of weight coecients and technique of real analysis, a multidimensionaldiscrete Hilbert-type inequality with a best possible constant factor is given. The equivalentform, the operator expression with the norm are considered.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
1 (Special Issue)
no.
2014
80
88
https://ijnaa.semnan.ac.ir/article_117_ad1285ddb601787b355b2ddbba08a66f.pdf
dx.doi.org/10.22075/ijnaa.2014.117
A companion of Ostrowski's inequality for functions of bounded variation and applications
S.S.
Dragomir
School of Computational & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050,
South Africa.
author
text
article
2014
eng
A companion of Ostrowski's inequality for functions of bounded variation and applications are given.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
1 (Special Issue)
no.
2014
89
97
https://ijnaa.semnan.ac.ir/article_118_8b6d57c3efcc79541d89acc0de017063.pdf
dx.doi.org/10.22075/ijnaa.2014.118
Some new extensions of Hardy`s inequality
A.R.
Moazzen
Department of Mathematics, Velayat University, Iranshahr, Iran.
author
R.
Lashkaripour
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
author
text
article
2014
eng
In this study, by a non-negative homogeneous kernel k we prove some extensions of Hardy's inequalityin two and three dimensions
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
5
v.
1 (Special Issue)
no.
2014
98
109
https://ijnaa.semnan.ac.ir/article_119_3350455c94f51970ab2121f655161633.pdf
dx.doi.org/10.22075/ijnaa.2014.119