Compact operators on the Motzkin sequence space c0(M)
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The concept of non-compactness measure is extremely beneficial for func- tional analysis in theories, such as fixed point and operator equations. Apart from these, the Hausdorff measure of non-compactness also has some applications in the theory of sequence spaces which is an interesting topic of functional analysis. One of these applications is to ob- tain necessary and sufficient conditions for the matrix operators between Banach coordinate (BK) spaces to be compact. In line with these explanations, in this study, the necessary and sufficient conditions for a matrix operator to be compact from the Motzkin sequence space c0(M) to the sequence space ? ? {??, c, c0, ?1} are presented by using Hausdorff measure of non-compactness.
Açıklama
Anahtar Kelimeler
Sequence spaces, Compact operators, Motzkin numbers, Hausdorff measure of non-compactness
Kaynak
Journal of New Results in Science
WoS Q Değeri
Scopus Q Değeri
Cilt
13
Sayı
2
