Some Matrix and Compact Operators of the Absolute Fibonacci Series Spaces

Autor:	Fadime Gökçe, Mehmet Ali Sarıgöl
Rok vydání:	2020
Předmět:	Hausdroff meausures of noncompactness Pure mathematics Matrix (mathematics) Bounded operators Fibonacci number Matrix transformations General Mathematics Fibonacci numbers Compact operator Absolute summability Sequence spaces Mathematics
Zdroj:	Kragujevac Journal of Mathematics. 44:273-286
ISSN:	2406-3045 1450-9628
DOI:	10.46793/kgjmat2002.273g
Popis:	In the present paper, we introduce the absolute Fibonacci space Fuk, give some inclusion relations and investigate topological and algebraic structure such as BK-space, ?-, ß-, ?-duals and Schauder basis. Further, we characterize certain matrix and compact operators on these spaces, also determine their norms and Hausdroff meausures of noncompactness. © 2020 University of Kragujevac, Faculty of Science.
Databáze:	OpenAIRE
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