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1
Content available remote Copies of RN in F-lattices
Wnuk W.
Commentationes Mathematicae
|
2016
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Vol 56, No. 2
239--242
EN
Modifying ideas presented in [14] we prove that a complete metrizable locally solid Riesz space E contains a linear subspace linearly homeomorphic to RN iff E contains a sublattice order isomorphic to RN.
2
Content available remote On the Zweier sequence space
Sengonul M.
Demonstratio Mathematica
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2007
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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.
3
Content available remote Generalized strongly almost summable difference sequences of order m defined by a sequence of moduli
Bektas C., Colak R.
Demonstratio Mathematica
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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).
4
Content available remote Strongly (Vσ,θ, q] - summable sequences defined by Orlicz functions
Altin Y., Tripathy B. Ch., Isik M., Et M.
Fasciculi Mathematici
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2005
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Nr 36
15-26
EN
The purpose of this paper is to introduce the space of sequences those are strongly -summable with respect to an Orlicz function. We give some relations related to these sequence spaces. We also show that the spaces may be represented as a space.
5
Content available remote Some remarks on strong convergence in modular spaces of sequences
Waszak A.
Fasciculi Mathematici
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2005
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Nr 35
151-162
EN
In this paper we study some connections between strong (A,φ)-summability of sequences and lacunary statistical convergence or lacunary strong convergence with respect to a modulus functions.
6
Content available remote A contribution to the theory of modular spaces of sequences
Waszak A.
Fasciculi Mathematici
|
2004
|
Nr 34
149-156
EN
For a given space T of all real sequences, non-negative matrix A = (a(nm)) and two sequences of convex Phi - functions (Phi p = ((Phim) and Psi = (Psi/m) we considered two modular spaces of sequences T Phi, and T*GgPsi. This note contains theorems which determinate relationship betveen these spaces.
7
Content available remote On the strong convergence in some sequence spaces
Waszak A.
Fasciculi Mathematici
|
2002
|
Nr 33
125-137
EN
The purpose of this paper is to introduce and study an idea of lacunary strong (A,phi)-convergence with respect to a modulus function. In coures of these investigations we study some connections between (A, phi)-strong summability of sequences and lacunary strong convergence with respect to a modulus or lacunary statistical convergence.
8
Content available remote On properties of some modular spaces of double sequences
Waszak A.
Fasciculi Mathematici
|
2001
|
Nr 32
105-116
EN
We consider modular spaces of strong (A, fi) - summable and | A,fi -summable double sequences. The main results are two theorems in which are given the necessary conditions for inclusion between the spaces T(fi) and 7(fi). These theorems are generalization of theorems given by J. Musielak and W. Orlicz in [6].
9
Content available remote On sequence spaces and s-convergence
Savas E.
Demonstratio Mathematica
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2000
|
Vol. 33, nr 1
165-170
EN
The purpose of this paper is to introduce some sequence spaces and also give some inclusion relations between sequence spaces and S'-convergence.
10
Content available remote The Musielak-Orlicz relations between some modular spaces
Waszak A., Żurakowski D.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
2000
|
[Z] 40
225-234
EN
Let T be the space of all real double sequences. For a given matrix A and fi-function f we consider two modular spaces connected with strong (A,fi) and | A,fi| summability. This paper contains some generalization of theorems given by J.Musielak and W.Orlicz in [4] and [5].
11
Content available remote Some sequence spaces defined by [N,Pn] summability
Bhardwaj V., Singh N.
Demonstratio Mathematica
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1999
|
Vol. 32, nr 3
539-546
EN
The object of this paper is to introduce some new sequence spaces which arise from the notion of [N, pn] summability. Some topological results, certain inclusion relations and a result on matrix transformations have been discussed.
12
Content available remote Difference sequence spaces defined by a sequence of moduli
Gaur A., Mursaleen
Demonstratio Mathematica
|
1998
|
Vol. 31, nr 2
275-278
EN
The idea of difference sequences was introduced by H. Kizmaz [1]. In this paper we define difference sequence spaces by a sequence of moduli and establish some inclusion relations.
13
Content available remote Matrix transformations of [lambda]-summability fields of [lambda]-reversible and [lambda]-perfect methods
Aasma A.
Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
|
1998
|
[Z] 38
1-20
EN
In this paper we shall consider the summability with speed. Let [lambda] and m be two monotonically increasing sequences (i.e.speeds) and B be a triangular matrix. In [4] there were found the necessary and sufficient conditions for a matrix M to be transformation of the [lambda]-boundedness field of normal matrix A into the u-boundedness field of B. Now we shall continue the research, started in [4]. More precisely, we shall prove two theorems which give the necessary and sufficient conditions for a matrix M to be transformation of the [lambda]-summability field of [lambda]-reversible matrix A into the u-summability or u-boundedness field of B ((Theorems 1 and 2). Also we shall consider the case, when A is a [lambda]-perfect matrix (Theorem 3). For application we shall consider the special cases when A or A and B booth are Cesaro or Riesz methods. We note that notions [lambda]-reversibility and [lambda]-perfectness were introduced by G.Kangro in [10].
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