scholarly journals Vector-valued Cesàro summable generalized Lorentz sequence space

2017 ◽  
Vol 66 (1) ◽  
pp. 179-186
Author(s):  
OĞUR Oğuz; SAĞIR
Keyword(s):  
Sequence Space ◽  
Lorentz Sequence Space ◽  
Vector Valued

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 The weak cotype 2 and the Orlicz property of the Lorentz sequence space d(a, 1)

1992 ◽  
Vol 34 (3) ◽  
pp. 271-276
Author(s):  
J. Zhu
Keyword(s):  
Banach Space ◽  
Function Space ◽  
Sequence Space ◽  
Affirmative Answer ◽  
Sequence Spaces ◽  
Similar Question ◽  
Lorentz Sequence Space ◽  
Symmetric Basis ◽  
Orlicz Property

The question “Does a Banach space with a symmetric basis and weak cotype 2 (or Orlicz) property have cotype 2?” is being seriously considered but is still open though the similar question for the r.i. function space on [0, 1] has an affirmative answer. (If X is a r.i. function space on [0, 1] and has weak cotype 2 (or Orlicz) property then it must have cotype 2.) In this note we prove that for Lorentz sequence spaces d(a, 1) they both hold.

scholarly journals On boundaries on the predual of the Lorentz sequence space

2007 ◽  
Vol 336 (1) ◽  
pp. 470-479 ◽  
Author(s):  
María D. Acosta ◽  
Luiza A. Moraes ◽  
Luis Romero Grados
Keyword(s):  
Sequence Space ◽  
Lorentz Sequence 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.

scholarly journals Generalized vector valued double sequence space using modulus function

2007 ◽  
Vol 38 (4) ◽  
pp. 347-366
Author(s):  
Anindita Basu ◽  
P. D. Srivastava
Keyword(s):  
Sequence Space ◽  
Statistical Convergence ◽  
Double Sequence ◽  
Modulus Function ◽  
Real Numbers ◽  
Double Sequence Space ◽  
Seminormed Space ◽  
Vector Valued

In this paper, we introduce a generalized vector valued paranormed double sequence space $ F^{2}(E,p,f,s) $, using modulus function $ f $, where $ p=(p_{nk}) $ is a sequence of non-negative real numbers, $ s\geq 0 $ and the elements are chosen from a seminormed space $ (E, q_{E}) $. Results regarding completeness, normality, $ K_{2} $-space, co-ordinatewise convergence etc. are derived. Further, a study of multiplier sets, ideals, notion of statistical convergence and ($ p_{nk} $ )-Ces\'aro summability in the space $ F^{2}(E,p,f,s) $ is also made.

Generalized Cesàro vector-valued sequence space and matrix transformations

2005 ◽  
Vol 173 (1-3) ◽  
pp. 11-21 ◽  
Author(s):  
Mohammad Mursaleen ◽  
Vakeel A. Khan
Keyword(s):  
Sequence Space ◽  
Matrix Transformations ◽  
Vector Valued
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