Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals-Reference-Cited by-同舟云学术

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

Published:2018-02-01 Issue:1 Volume:68 Page:115-134
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Mursaleen Mohammad¹,Raj Kuldip²

Affiliation:

1. Department of Mathematics Aligarh Muslim University , Aligarh - 202002 , India

2. Department of Mathematics Shri Mata Vaishno Devi University , Katra - 182320a , India

Abstract

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

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0085/pdf

Reference33 articles.

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3. Alotaibi, A.—Mursaleen, M.—Sharma, S. K.—Mohiuddine, S. A.: Sequence spaces of fuzzy numbers defined by a Musielak-Orlicz function, Filomat 29 (2015), 1461–1468.10.2298/FIL1507461A

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