Affiliation:
1. Department of Mathematics, Dera Natung Government College, Itanagar, India
2. Department of Mathematics, Gauhati University, Gauhati, India
3. School of Mathematics and Statistics, Xi’an Jiaotong University, Xianning West Road, Xi’an, Shaanxi, People’s Republic of China
Abstract
We introduce new Banach spaces e?,? 0 (q) and e?,? c (q) defined as the
domain of generalized q-Euler matrix E?,?(q) in the spaces c0 and c,
respectively. Some topological properties and inclusion relations related to
the newly defined spaces are exhibited. We determine the bases and obtain
K?the duals of the spaces e?,? 0 (q) and e?,? c (q). We characterize
certain matrix mappings from the spaces e?,? 0 (q) and e?,? c (q) to the
space S ? {??, c, c0, ?1, bs, cs, cs0}. We compute necessary and sufficient
conditions for a matrix operator to be compact from the space e?,? 0 (q) to
the space S ? {??, c, c0, ?1, bs, cs, cs0} using Hausdorff measure of
non-compactness. Finally, we give point spectrum of the matrix E?,?(q) in
the space c.
Publisher
National Library of Serbia
Cited by
1 articles.
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