Geodesic
On the domain of q-Euler matrix in c and c 0 with its point spectra
Filomat, Tome 37 (2023) no. 2, p. 643

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DOI

We introduce new Banach spaces eα,β0 (q) and e α,β c (q) defined as the domain of generalized q-Euler matrix Eα,β(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 Köthe duals of the spaces eα,β0 (q) and e α,β c (q). We characterize certain matrix mappings from the spaces e α,β 0 (q) and e α,β c (q) to the space S ∈ {ℓ∞, c, c0, ℓ1, bs, cs, cs0}. We compute necessary and sufficient conditions for a matrix operator to be compact from the space eα,β0 (q) to the space S ∈ {ℓ∞, c, c0, ℓ1, bs, cs, cs0} using Hausdorff measure of non-compactness. Finally, we give point spectrum of the matrix Eα,β(q) in the space c.
DOI : 10.2298/FIL2302643Y
Classification : 46A45, 46B45, 47A10, 47B07, 47B37
Keywords: Sequence space, q-Euler matrix, Köthe duals, Matrix mappings, Compact operators, Point spectrum 
Taja Yaying; Bipan Hazarika; Liquan Mei. On the domain of q-Euler matrix in c and c 0 with its point spectra. Filomat, Tome 37 (2023) no. 2, p. 643 . doi: 10.2298/FIL2302643Y
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     title = {On the domain of {q-Euler} matrix in c and c 0 with its point spectra},
     journal = {Filomat},
     pages = {643 },
     year = {2023},
     volume = {37},
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     doi = {10.2298/FIL2302643Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2302643Y/}
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