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Original scientific paper

The spectra and fine spectra of factorable matrices on $c_0$

Billy E. Rhoades ; Department of Mathematics, Indiana University, Bloomington, Indiana, U.S.A.
Mustafa Yildirim ; Department of Mathematics, Faculty of Science, Cumhuriyet University, Sivas, Turkey


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Abstract

In a series of papers we have previously investigated the spectra
and fine spectra for factorable matrices, considered as bounded
operators over various sequence spaces. In this paper we examine
the spectra and fine spectra of factorable matrices as operators
over $c_0$, the space of all null sequences, normed by $\|x\| :=
\sup_{n\geq 0}|x_n|$.

Keywords

spectrum; fine spectrum; factorable matrices; weighted mean operators; Rhaly operators; Cesáro operators

Hrčak ID:

68642

URI

https://hrcak.srce.hr/68642

Publication date:

10.6.2011.

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