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Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces
, S.A. Mohiuddine, K. Raj, A.H. Alkhaldi
Published in Springer International Publishing
Volume: 2018
We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator. We show that the Orlicz-Garling sequence space admits a unique 1-subsymmetric basis and a 1-dominated block basic sequence in g(M, Δ ( m ), v, p). We also make an effort to prove that every symmetric normalized block Orlicz-Garling sequence dominates an Orlicz-Lorentz sequence. Finally, we study some geometric properties of these spaces and establish some inclusion relations between spaces. © 2018, The Author(s).
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Published in Springer International Publishing
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