Discrete Duhamel product, restriction of weighted shift operators and related problems
NEW YORK JOURNAL OF MATHEMATICS, cilt.20, ss.831-843, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 20
- Basım Tarihi: 2014
- Dergi Adı: NEW YORK JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.831-843
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
By applying the discrete Duhamel product method we calculate the spectral multiplicity of the direct sum of some operators. In particular, we prove that mu(T vertical bar X-i circle plus A) = 1 + mu(A) and mu(S circle plus A) = 2 for the restriction of the weighted shift operator T vertical bar X-i, shift operator S and some appropriate operators A on the Banach spaces.