PL
 |
EN
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 7

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  przestrzeń ciągu
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Duals of homogeneous weighted sequence Besov spaces and applications
Huang P.-K., Wang K.
Journal of Applied Analysis
|
2011
|
Vol. 17, nr 2
181-205
EN
In this article, we study the duals of homogeneous weighted sequence Besov spaces b α,q p,w, where the weight w is non-negative and locally integrable. In particular, when 0 < p < 1, we find a type of new sequence spaces which characterize the duals of b α,q p,w. Also, we find the necessary and sufficient conditions for the boundedness of diagonal matrices acting on homogeneous weighted sequence Besov spaces. Using these results, we give some applications to characterize the boundedness of Fourier-Haar multipliers and paraproduct operators. In this situation, we need to require that the weight w is an Ap weight.
2
Content available remote On a new sequence space related to the Orlicz sequence space
Khan V. A.
Journal of Mathematics and Applications
|
2008
|
Vol. 30
61-69
EN
The space m(Φ) was introduced by sargent[14]and further studied by Malkowsky and Mursaleen [8] and Mursaleen [9]. In this paper we extend this space to m(M, Φ, p) and study some of its properties, inclusions relations and its relation with the Orlicz sequence space l(sub M).
3
Content available remote Strong invariant A-summability with respect to a sequence of modulus functions in seminormed space
Bhardwaj V., Bala I.
Demonstratio Mathematica
|
2008
|
Vol. 41, nr 4
869-877
EN
The object of this paper is to introduce some new strongly invariant A-summable sequence spaces defined by a sequence of modulus functions T = (fk) in a seminormed space, when A = (ank) is a non-negative regular matrix. Various algebraic and topological properties of these spaces, and some inclusion relations between these spaces have been discussed. Finally, we study some relations between ^4-invariant statisti-cal convergence and strong invariant A-summability with respect to a seąuence of modulus functions in a seminormed space.
4
Content available remote Statistical convergence on composite vector valued sequence space
Basu A., Srivastava P. D.
Journal of Mathematics and Applications
|
2007
|
Vol. 29
75-90
EN
In this paper, we have defined the idea of statistical convergence and statistically Cauchy sequence over the generalized class of composite vector valued sequence space F(Ek, f). The class F(Ek, f) is in-troduced and discussed by Ghosh and Srivastava [7], where F is a normal paranormed sequence space, Ek's are Banach spaces and f is a modulus function. We have established some results of Fridy, Connor and Rath and Tripathy, such as, decomposition of statistically convergent sequences, equivalence of statistical convergence and statistical Cauchy convergence and sequentially completeness of the space of bounded statistically con-vergent sequences of F [E, f].
5
Content available remote On the Zweier sequence space
Sengonul M.
Demonstratio Mathematica
|
2007
|
Vol. 40, nr 1
181-196
EN
The purpose of this paper is to introduce the Zweier sequence spaces Ż and Ż0 consisting of all sequences x = (xk) such that (Zx) in the space c and c0 respectively, which is normed. Also, prove that Ż and Ż0 are linearly isomorphic to the space c and c0 respectively. Additionally, the alpha, beta and gamma -duals of the spaces Ż and Ż0 have been computed and space of Ż0 Schauder base have been constructed. Furthermore, given the two theorem concerning matrix map. Finally, the norm of Zweier operator have been given and the .ne spectrum of the Zweier operator over the sequence spaces c and c0 has been determined.
6
Content available remote Generalized strongly almost summable difference sequences of order m defined by a sequence of moduli
Bektas C., Colak R.
Demonstratio Mathematica
|
2007
|
Vol. 40, nr 3
581-591
EN
In this paper we introduce some new sequence spaces by using a sequence of moduli F = (fk), give some topological properties and inclusion relations related to these sequence spaces. We also give the beta-dual of [�c, F, p]infinity(delta m).
7
Content available remote Boundedness of superposition operators on some sequence spaces defined by moduli
Molder A.
Demonstratio Mathematica
|
2006
|
Vol. 39, nr 4
869-886
EN
For a solid sequence space lambda and a sequence of modulus functions fi = (phik) let lambda(fi) = {x = (xk) : (phik(|xk|)) is an element of lambda}. Provided another solid sequence space ž and a sequence of modulus functions psi= psi(k), we give necessary and sufficient conditions for the local boundedness and boundedness of superposition operators Pf from lambda(fi)) into ž(psi) for some Banach sequence spaces lambda and ž under the assumptions that topologies on the sequence spaces lambda(fi) and ž(psi) are given by certain F-norms. As applications we characterize bounded superposition operators on some multiplier sequence spaces of Maddox type.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.