uniform opial property
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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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On H-property and uniform Opial property of generalized cesàro sequence spaces

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2012-76 ◽

2012 ◽

Vol 2012 (1) ◽

Cited By ~ 2

Author(s):

Chirasak Mongkolkeha ◽

Poom Kumam

Keyword(s):

Sequence Spaces ◽

Opial Property ◽

Uniform Opial Property

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Some Geometric Properties of Lacunary Sequence Spaces Related to Fixed Point Property

Abstract and Applied Analysis ◽

10.1155/2011/903736 ◽

2011 ◽

Vol 2011 ◽

pp. 1-13 ◽

Cited By ~ 2

Author(s):

Chirasak Mongkolkeha ◽

Poom Kumam

Keyword(s):

Fixed Point ◽

Lacunary Sequence ◽

Fixed Point Property ◽

Sequence Spaces ◽

Point Property ◽

Geometric Properties ◽

Opial Property ◽

Uniform Opial Property

The main purpose of this paper is considering the lacunary sequence spaces defined by Karakaya (2007), by proving the property (β) and Uniform Opial property.

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