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

In: Mathematica Slovaca, vol. 68, no. 1
Mohammad Mursaleen - Kuldip Raj

Details:

Year, pages: 2018, 115 - 134
Keywords:
Musielak-Orlicz function, Banach lattice, $s$-number, operator ideals
About article:
In the present paper we introduce generalized vector-valued Musielak-Orlicz sequence space $l_{(A, \mathcal{M}, u, p, Δr, |·, …, ·|)}(X)$ 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 $A$.
How to cite:
ISO 690:
Mursaleen, M., Raj, K. 2018. Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals. In Mathematica Slovaca, vol. 68, no.1, pp. 115-134. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0085

APA:
Mursaleen, M., Raj, K. (2018). Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals. Mathematica Slovaca, 68(1), 115-134. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0085
About edition:
Published: 23. 2. 2018