4.3 Article

Compact operators on some Fibonacci difference sequence spaces

Journal

Publisher

SPRINGEROPEN
DOI: 10.1186/s13660-015-0713-5

Keywords

sequence spaces; Fibonacci numbers; compact operators; Hausdorff measure of noncompactness

Funding

  1. Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah [69-130-35-RG]
  2. DSR

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In this paper, we characterize the matrix classes (l(1), l(p)((F) over cap)) (1 <= p <= infinity), where l(p)((F) over cap) is some Fibonacci difference sequence spaces. We also obtain estimates for the norms of the bounded linear operators L-Lambda defined by these matrix transformations and find conditions to obtain the corresponding subclasses of compact matrix operators by using the Hausdorff measure of noncompactness.

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