Generalized vector valued paranormed sequence space using Orlicz function

2017 ◽  
Vol 28 (1) ◽  
pp. 71-87
Author(s):  
P. D. Srivastava ◽  
Sudhanshu Kumar
Keyword(s):  
Sequence Space ◽  
Orlicz Function ◽  
Paranormed Sequence Space ◽  
Vector Valued

scholarly journals On Vector Valued Paranormed Sequence Space l (X,M, ?, p,L) Defined by Orlicz Function

2012 ◽  
Vol 12 ◽  
pp. 252-259
Author(s):  
Narayan Prasad Pahari
Keyword(s):  
Sequence Space ◽  
Science And Technology ◽  
Orlicz Function ◽  
Paranormed Sequence Space ◽  
Vector Valued

DOI: http://dx.doi.org/10.3126/njst.v12i0.6510 Nepal Journal of Science and Technology 12 (2011) 252-259

scholarly journals Vector valued multiple sequence spaces defined by Orlicz function

2014 ◽  
Vol 33 (1) ◽  
pp. 67 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Rupanjali Goswami
Keyword(s):  
Sequence Space ◽  
Orlicz Function ◽  
Sequence Spaces ◽  
Multiple Sequence ◽  
Vector Valued ◽  
Inclusion Results

In this article we define some vector valued multiple sequence space defined by Orlicz function. We study some of their properties like solidness, symmetry, completeness etc and prove some inclusion results.

scholarly journals On Certain Linear Structures of Bounded Vector - Valued Sequence Space on Product Normed Space

2016 ◽  
Vol 2 ◽  
pp. 31
Author(s):  
Narayan` Prasad Pahari
Keyword(s):  
Sequence Space ◽  
Normed Space ◽  
Full Text ◽  
Linear Structures ◽  
College Of Engineering ◽  
Vector Valued

<p>Available with full text.</p><p><strong>Journal of Advanced College of Engineering and Management</strong>, Vol. 2, 2016, Page: 31-39 </p>

scholarly journals On some new modular sequence spaces

2013 ◽  
Vol 31 (2) ◽  
pp. 55 ◽  
Author(s):  
Cigdem Asma Bektas ◽  
Gülcan Atıci
Keyword(s):  
Sequence Space ◽  
Orlicz Function ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Orlicz Sequence Space ◽  
Orlicz Functions ◽  
Orlicz Sequence Spaces

Lindenstrauss and Tzafriri [7] used the idea of Orlicz function to define the sequence space ℓM which is called an Orlicz sequence space. Another generalization of Orlicz sequence spaces is due to Woo [9]. An important subspace of ℓ (M), which is an AK-space, is the space h (M) . We define the sequence spaces ℓM (m) and ℓ N(m), where M = (Mk) and N = (Nk) are sequences of Orlicz functions such that Mk and Nk be mutually  complementary for each k. We also examine some topological properties of these spaces. We give the α−, β− and γ− duals of the sequence space h (M) and α− duals of the squence spaces ℓ (M, λ) and ℓ (N, λ).

scholarly journals Some Properties of the Sequence Space

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Kuldip Raj ◽  
Sunil K. Sharma
Keyword(s):  
Sequence Space ◽  
Orlicz Function ◽  
Topological Properties ◽  
Inclusion Relations

We introduce the sequence space defined by a Musielak-Orlicz function . We also study some topological properties and prove some inclusion relations involving this space.

Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals

2018 ◽  
Vol 68 (1) ◽  
pp. 115-134 ◽  
Author(s):  
Mohammad Mursaleen ◽  
Kuldip Raj
Keyword(s):  
Sequence Space ◽  
Sequence Spaces ◽  
Operator Ideals ◽  
Orlicz Sequence Space ◽  
Geometric Properties ◽  
Orlicz Functions ◽  
Opial Property ◽  
Uniform Opial Property ◽  
Vector Valued

AbstractIn the present paper we introduce generalized vector-valued Musielak-Orlicz sequence spacel(A,𝓜,u,p,Δr,∥·,… ,·∥)(X) and study some geometric properties like uniformly monotone, uniform Opial property for this space. Further, we discuss the operators ofs-type and operator ideals by using the sequence ofs-number (in the sense of Pietsch) under certain conditions on matrixA.

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