Some Matrix and Compact Operators of the Absolute Fibonacci Series Spaces
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Authors: F. GöKçE AND M. A. SARIGöL
DOI: 10.46793/KgJMat2002.273G
Abstract:
In the present paper, we introduce the absolute Fibonacci space
k, give
some inclusion relations and investigate topological and algebraic
structure such as BK-space, α-, β-, γ- duals and Schauder basis.
Further, we characterize certain matrix and compact operators on
these spaces, also determine their norms and Hausdroff meausures of
noncompactness.
Keywords:
Absolute summability, Fibonacci numbers, matrix transformations, sequence spaces, bounded operators, Hausdroff meausures of noncompactness.
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