Some vector valued multiplier difference sequence spaces defined by a~sequence of Orlicz functions
Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 2, pp. 26-34
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In this article we introduce some new difference sequence spaces with a real 2-normed linear space as base space and which are defined using a sequence of Orlicz functions, a bounded sequence of positive real numbers and a sequence of non-zero reals as multiplier sequence. We show that these spaces are complete paranormed spaces when the base space is a 2-Banach space and investigate these spaces for solidity, symmetricity, convergence free, monotonicity and sequence algebra. Further we obtain some relation between these spaces as well as prove some inclusion results.
@article{VMJ_2011_13_2_a2,
author = {H. Dutta},
title = {Some vector valued multiplier difference sequence spaces defined by a~sequence of {Orlicz} functions},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {26--34},
publisher = {mathdoc},
volume = {13},
number = {2},
year = {2011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/VMJ_2011_13_2_a2/}
}
TY - JOUR AU - H. Dutta TI - Some vector valued multiplier difference sequence spaces defined by a~sequence of Orlicz functions JO - Vladikavkazskij matematičeskij žurnal PY - 2011 SP - 26 EP - 34 VL - 13 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMJ_2011_13_2_a2/ LA - en ID - VMJ_2011_13_2_a2 ER -
H. Dutta. Some vector valued multiplier difference sequence spaces defined by a~sequence of Orlicz functions. Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 2, pp. 26-34. http://geodesic.mathdoc.fr/item/VMJ_2011_13_2_a2/