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Mathematical Communications, Vol. 16 No. 2, 2011.

Original scientific paper

Subdivision of the spectra for factorable matrices on $c$ and $\ell ^{p}$

Nuh Durna ; Department of Mathematics, Faculty of Science, Cumhuriyet University, Sivas, Turkey
Mustafa Yildirim ; Department of Mathematics, Faculty of Science, Cumhuriyet University, Sivas, Turkey

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page 519-530

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Abstract

There are many different ways to subdivide the spectrum of a
bounded linear operator; some of them are motivated by
applications to physics (in particular, quantum mechanics). In a
series of papers, B.E. Rhoades and M. Yildirim previously
investigated the spectra and fine spectra for factorable matrices,
considered as bounded operators over various sequence spaces. In
the present paper, approximation point spectrum, defect spectrum
and compression spectrum of factorable matrices are investigated.

Keywords

spectrum; fine spectrum; approximate point spectrum; defect spectrum; compression spectrum; factorable matrices

Hrčak ID:

74897

URI

https://hrcak.srce.hr/74897

Publication date:

21.12.2011.

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