Subdivisions of the spectra for cesaro, rhaly and weighted mean operators on c(0),c and l(P)

Amirov R. K., Durna N., Yildirim M.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, vol.35, pp.175-183, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 35
  • Publication Date: 2011
  • Journal Name: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.175-183
  • Keywords: Spectrum, fine spectrum, approximate point spectrum, defect spectrum, compression spectrum, weighted mean operators, Rhaly operators, Cesaro operators, FINE SPECTRUM
  • Sivas Cumhuriyet University Affiliated: Yes

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 this study, the relationship between the subdivisions of spectrum which are not required to be disjoint and Goldberg's classification are given. Moreover, these subdivisions for some summability methods are studied.