Subdıvısıons of the spectra for cesaro, rhaly and weighted mean operators on c0,c and ℓp

Amirov R. K., DURNA N., YILDIRIM M.

Iranian Journal of Science and Technology, Transaction A: Science, cilt.35, sa.3, ss.175-183, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 3
  • Basım Tarihi: 2011
  • Dergi Adı: Iranian Journal of Science and Technology, Transaction A: Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.175-183
  • Anahtar Kelimeler: Approximate point spectrum, Cesáro operators, Compression spectrum, Defect spectrum, Fine spectrum, Rhaly operators, Spectrum, Weighted mean operators
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

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.