eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-01-01
5
1 (Special Issue)
1
8
10.22075/ijnaa.2014.110
110
Arens-irregularity of tensor product of Banach algebras
T. Yazdanpanah
1
R. Gharibi
2
aDepartment of Mathematics, Persian Gulf University, Boushehr, 75168, Iran.
aDepartment of Mathematics, Persian Gulf University, Boushehr, 75168, Iran.
We introduce Banach algebras arising from tensor norms. By these Banach algebras we make Arens<br />regular Banach algebras such that tensor product becomes irregular, where is tensor norm. We<br />illustrate injective tensor product, does not preserve bounded approximate identity and it is not<br />algebra norm.
https://ijnaa.semnan.ac.ir/article_110_b4abcb01c04089ee8011111f76b3eb00.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-01-01
5
1 (Special Issue)
9
22
10.22075/ijnaa.2014.111
111
Certain subalgebras of Lipschitz algebras of infinitely differentiable functions and their maximal ideal spaces
D. Alimohammadi
1
F. Nezamabadi
2
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran.
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran.
We study an interesting class of Banach function algebras of innitely dierentiable functions on<br />perfect, compact plane sets. These algebras were introduced by Honary and Mahyar in 1999, called<br />Lipschitz algebras of innitely dierentiable functions and denoted by Lip(X;M; ), where X is a<br />perfect, compact plane set, M = fMng1n<br />=0 is a sequence of positive numbers such that M0 = 1 and<br />(m+n)!<br />Mm+n<br /> ( m!<br />Mm<br />)( n!<br />Mn<br />) for m; n 2 N [ f0g and 2 (0; 1]. Let d = lim sup( n!<br />Mn<br />)<br />1<br />n and Xd = fz 2 C :<br />dist(z;X) dg. Let LipP;d(X;M; )[LipR;d(X;M; )] be the subalgebra of all f 2 Lip(X;M; )<br />that can be approximated by the restriction to Xd of polynomials [rational functions with poles o<br />Xd]. We show that the maximal ideal space of LipP;d(X;M; ) is cXd, the polynomially convex hull<br />of Xd, and the maximal ideal space of LipR;d(X;M; ) is Xd, for certain compact plane sets.. Using<br />some formulae from combinatorial analysis, we nd the maximal ideal space of certain subalgebras<br />of Lipschitz algebras of innitely dierentiable functions.
https://ijnaa.semnan.ac.ir/article_111_3aee2736a32d307e34b4d8bc34fafb5a.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-01-01
5
1 (Special Issue)
23
35
10.22075/ijnaa.2014.112
112
Ternary (sigma,tau,xi)-derivations on Banach ternary algebras
M. Eshaghi Gordji
1
F. Farrokhzad
2
S.A.R. Hosseinioun
3
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA.
Let A be a Banach ternary algebra over a scalar eld R or C and X be a Banach ternary A-module.<br />Let ; and be linear mappings on A, a linear mapping D : (A; [ ]A) ! (X; [ ]X) is called a ternary<br />(; ; )-derivation, if<br />D([xyz]A) = [D(x) (y)(z)]X + [(x)D(y)(z)]X + [(x) (y)D(z)]X<br />for all x; y; z 2 A.<br />In this paper, we investigate ternary (; ; )-derivation on Banach ternary algebras, associated<br />with the following functional equation<br />f(<br />x + y + z<br />4<br />) + f(<br />3x y 4z<br />4<br />) + f(<br />4x + 3z<br />4<br />) = 2f(x) :<br />Moreover, we prove the generalized Ulam{Hyers stability of ternary (; ; )-derivations on Banach<br />ternary algebras.
https://ijnaa.semnan.ac.ir/article_112_ecfffaca50a5c1a9f09e21fc58595127.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-01-01
5
1 (Special Issue)
36
53
10.22075/ijnaa.2014.113
113
Contractive maps in Mustafa-Sims metric spaces
M. Turinici
1
"A. Myller" Mathematical Seminar, "A. I. Cuza" University, 700506 Iasi, Romania.
The xed point result in Mustafa-Sims metrical structures obtained by Karapinar and Agarwal<br />[Fixed Point Th. Appl., 2013, 2013:154] is deductible from a corresponding one stated in terms of<br />anticipative contractions over the associated (standard) metric space.
https://ijnaa.semnan.ac.ir/article_113_0b35677d1efa6cc2becda06023b6e04d.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-01-01
5
1 (Special Issue)
54
63
10.22075/ijnaa.2014.114
114
Tripled partially ordered sets
M. Eshaghi
1
A. Jabbari
2
S. Mohseni
3
Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran
Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
In this paper, we introduce tripled partially ordered sets and monotone functions on tripled partially<br />ordered sets. Some basic properties on these new dened sets are studied and some examples for<br />clarifying are given.
https://ijnaa.semnan.ac.ir/article_114_42e7a53b23613e649516a8991bc7f54e.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-01-01
5
1 (Special Issue)
64
70
10.22075/ijnaa.2014.115
115
A fixed point result for a new class of set-valued contractions
A. Sadeghi Hafjejani
1
A. Amini Harandi
2
Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran.
Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran.
In this paper, we introduce a new class of set-valued contractions and obtain a xed point theorem<br />for such mappings in complete metric spaces. Our main result generalizes and improves many well-<br />known xed point theorems in the literature.
https://ijnaa.semnan.ac.ir/article_115_04704abdd8d440603dc84fa5e05cfff9.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-01-01
5
1 (Special Issue)
71
79
10.22075/ijnaa.2014.116
116
On a more accurate multiple Hilbert-type inequality
Q. Huang
1
B. Yang
2
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China.
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China.
By using Euler-Maclaurin's summation formula and the way of real analysis, a more accurate multiple<br />Hilbert-type inequality and the equivalent form are given. We also prove that the same constant<br />factor in the equivalent inequalities is the best possible.
https://ijnaa.semnan.ac.ir/article_116_ea3df0090bfbe87b3cfe918003fb4766.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-01-01
5
1 (Special Issue)
80
88
10.22075/ijnaa.2014.117
117
A multidimensional discrete Hilbert-type inequality
B. Yang
1
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China.
In this paper, by using the way of weight coecients and technique of real analysis, a multidimensional<br />discrete Hilbert-type inequality with a best possible constant factor is given. The equivalent<br />form, the operator expression with the norm are considered.
https://ijnaa.semnan.ac.ir/article_117_ad1285ddb601787b355b2ddbba08a66f.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-01-01
5
1 (Special Issue)
89
97
10.22075/ijnaa.2014.118
118
A companion of Ostrowski's inequality for functions of bounded variation and applications
S.S. Dragomir
1
School of Computational & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa.
A companion of Ostrowski's inequality for functions of bounded variation and applications are given.
https://ijnaa.semnan.ac.ir/article_118_8b6d57c3efcc79541d89acc0de017063.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2014-01-01
5
1 (Special Issue)
98
109
10.22075/ijnaa.2014.119
119
Some new extensions of Hardy`s inequality
A.R. Moazzen
1
R. Lashkaripour
2
Department of Mathematics, Velayat University, Iranshahr, Iran.
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
In this study, by a non-negative homogeneous kernel k we prove some extensions of Hardy's inequality<br />in two and three dimensions
https://ijnaa.semnan.ac.ir/article_119_3350455c94f51970ab2121f655161633.pdf