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On some geometric properties of generalized Musielak-Orlicz sequence space and corresponding operator ideals

, 2014
Let $\bold{\Phi}=(\phi_n)$ be a Musielak-Orlicz function, $X$ be a real Banach space and $A$ be any infinite matrix. In this paper, a generalized vector-valued Musielak-Orlicz sequence space $l_{\bold {\Phi}}^{A}(X)$ is introduced.
Amit Maji, P. D. Srivastava
semanticscholar   +1 more source

Explosiveness of Musielak-Orlicz Sequence Spaces

Acta Analysis Functionalis Applicata, 2012
Summary: We make a survey for criteria of the exposed points and the exposedness for the sequence spaces of Orlicz type, such as the classical Orlicz spaces, general Orlicz spaces and Musielak-Orlicz spaces, endowed with the Luxemburg norm and the Orlicz norm respectively.
Shi, Zhongrui, Liu, Chunyan
openaire   +2 more sources

SOME PROPERTIES OF MODULAR TOPOLOGY IN THE ORLICZ SEQUENCE SPACE

Journal of Fundamental Mathematics and Applications (JFMA)
In this article, we examined some properties of modular topology on the Orlicz sequence space. Discussions were conducted by constructing the topology on the sequence space using a modular neighborhood of zero. The neighborhood forms a local base that is
Haryadi Haryadi, S. Solikhin
semanticscholar   +1 more source

Some geometric coefficients in orlicz sequence spaces

Nonlinear Analysis: Theory, Methods & Applications, 1993
A Banach space \(X\) is said to have weak normal structure if every weakly compact convex subset \(C\) of \(X\) contains a nondiametral point. Bynum has defined the term weak normal structure coefficient of a Banach space \(X\). \((\text{WCS}(X))\) and Huff has given the definition of uniformly Kadec- Klee property (UKK).
Domínguez Benavides, T.   +1 more
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WCS Coefficients in Orlicz Sequence Spaces

Southeast Asian Bulletin of Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Maluta’s Coefficient of Musielak–Orlicz Sequence Spaces

Acta Mathematica Sinica, English Series, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yao, Huili, Wang, Tingfu
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Some notes on orlicz-bochner sequence spaces

Journal of Shanghai University (English Edition), 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Pin, Shi, Zhongrui, Liu, Yuxia
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Bochner-Orlicz sequence spaces with λ property

Journal of Shanghai University (English Edition), 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Zhongrui, Ge, Shuangyin
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Weakly compact sets in Orlicz–Bochner sequence spaces

Mathematische Nachrichten
In this work, we give three kinds of criteria for weak sets in Orlicz–Bochner sequence spaces l(Φ)(X)$l_{(\Phi)}(X)$ without constraints, conditions posited in each criterion are necessary and sufficient. As an application, we give criteria for weak sets
Wanzhong Gong, Siyu Shi, Zhongrui Shi
semanticscholar   +1 more source

DOUBLE SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS

2007
In this paper we introduce some new double sequence spaces using the Orlicz function andexamine some properties of the resulting sequence spaces.
Savaş, Ekrem, Patterson, Richard F.
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