A new paranormed sequence space defined by Catalan conservative matrix

2020 ◽  
Author(s):  
Pınar Zengin Alp
Keyword(s):  
Sequence Space ◽  
Paranormed Sequence Space ◽  
Conservative Matrix

scholarly journals On Some Properties of New Paranormed Sequence Space of Nonabsolute Type

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Vatan Karakaya ◽  
Necip Şimşek
Keyword(s):  
Sequence Space ◽  
Sequence Spaces ◽  
The Other ◽  
Matrix Transformations ◽  
Topological Properties ◽  
Paranormed Sequence Space ◽  
Inclusion Relations

We introduce some new generalized sequence space related to the space . Furthermore we investigate some topological properties as the completeness, the isomorphism, and also we give some inclusion relations between this sequence space and some of the other sequence spaces. In addition, we compute -, -, and -duals of this space and characterize certain matrix transformations on this sequence space.

scholarly journals On Some Geometric Properties of a New Paranormed Sequence Space

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Vatan Karakaya ◽  
Fatma Altun
Keyword(s):  
Sequence Space ◽  
Luxemburg Norm ◽  
Geometric Properties ◽  
Paranormed Sequence Space ◽  
New Space

We introduce a new sequence space which is defined by the operatorW=(wnk)on the sequence spaceℓ(p). We define a modular functional on this space and investigate structure of this space equipped with Luxemburg norm. Also we study some geometric properties which are called Kadec-Klee, k-NUC, and uniform Opial properties and prove that this new space possesses these properties.

scholarly journals On the paranormed space L(t) of double sequences

Filomat ◽  
2018 ◽  
Vol 32 (3) ◽  
pp. 1043-1053 ◽  
Author(s):  
Hüsamettin Çapan ◽  
Feyzi Başar
Keyword(s):  
Sequence Space ◽  
Matrix Transformations ◽  
Topological Properties ◽  
Double Sequences ◽  
Paranormed Space ◽  
Dimensional Matrix ◽  
Paranormed Sequence Space ◽  
Alpha Beta

In this paper, we introduce the paranormed sequence space L(t) which is the generalization of the space Lq of all absolutely q-summable double sequences. We examine some topological properties of the space L(t) and determine its alpha-, beta- and gamma-duals. Finally, we characterize some classes of four-dimensional matrix transformations from the space L(t) into some spaces of double sequences.

scholarly journals On the paranormed space $\mathcal{M}_{u}(t)$ of double sequences

2017 ◽  
Vol 37 (3) ◽  
pp. 99-111 ◽  
Author(s):  
Feyzi Başar ◽  
Hüsamettin Çapan
Keyword(s):  
Sequence Space ◽  
Normed Space ◽  
Matrix Transformations ◽  
Topological Properties ◽  
Double Sequences ◽  
Paranormed Space ◽  
Dual Spaces ◽  
Dimensional Matrix ◽  
Paranormed Sequence Space ◽  
Alpha Beta

In this paper, we introduce the paranormed sequence space $\mathcal{M}_{u}(t)$ corresponding to the normed space $\mathcal{M}_{u}$ of bounded double sequences. We examine general topological properties of this space and determine its alpha-, beta- and gamma-duals. Furthermore, we characterize some classes of four-dimensional matrix transformations concerning this space and its dual spaces.

scholarly journals On Certain Topological Structures of Summable Paranormed Sequence Space Defined in Two - Normed Space

2015 ◽  
Vol 19 (2) ◽  
pp. 135-140
Author(s):  
Narayan Prasad Pahari
Keyword(s):  
Sequence Space ◽  
Normed Space ◽  
Science And Technology ◽  
Topological Structures ◽  
Paranormed Sequence Space

Abstract on PDFJournal of Institute of Science and Technology, 2014, 19(2): 135-140

scholarly journals On the triple paranormed sequence space of binomial Poisson matrix

2019 ◽  
Author(s):  
A. Esi ◽  
N. Subramanian ◽  
M. K. Ozdemir
Keyword(s):  
Sequence Space ◽  
Paranormed Sequence Space
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