A study on q-analogue of Catalan sequence spaces
Yükleniyor...
Dosyalar
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Nis
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we construct q-analog C(q) of Catalan matrix and study the sequence spaces c0 (C(q)) and c(C(q)) defined as the domain of q-Catalan matrix C(q) in the spaces c0 and c, respectively. We exhibit some topological properties, obtain Schauder bases and determine ?-, ?-, and ?-duals of the spaces c0 (C(q)) and c(C(q)). Finally, we characterize certain class of matrix mappings from the spaces c0 (C(q)) and c(C(q)) to the space µ = {??, c0, c, ?1 } and give the necessary and sufficient conditions for a matrix operator to be compact. © 2023, University of Nis. All rights reserved.
Açıklama
Anahtar Kelimeler
Compact operator, Hausdorff measure of non-compactness, Matrix mappings, q-Catalan matrix, Schauder basis, Sequence space, ?-, ?-, ?-duals
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
37
Sayı
3
