On some operator equations in the space of analytic functions and related questions

GÜRDAL, Mehmet; SOHRET, Filiz

doi:10.3176/proc.2013.2.01

On some operator equations in the space of analytic functions and related questions

GÜRDAL M., SOHRET F.

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, cilt.62, sa.2, ss.81-87, 2013 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 62 Sayı: 2
Basım Tarihi: 2013
Doi Numarası: 10.3176/proc.2013.2.01
Dergi Adı: PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.81-87
Anahtar Kelimeler: extended eigenvalue, extended eigenvector, alpha-Duhamel product, starlike region, Frechet space, inner derivation operator, EXTENDED EIGENVALUES, EIGENVECTORS
Süleyman Demirel Üniversitesi Adresli: Evet

Özet

We investigate extended eigenvalues, extended eigenvectors, and cyclicity problems for some convolution operators. By using the Duhamel product technique, we also estimate the norm of the inner derivation operator Delta(A).