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

GÜRDAL M., SOHRET F.

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, vol.62, no.2, pp.81-87, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 62 Issue: 2
  • Publication Date: 2013
  • Doi Number: 10.3176/proc.2013.2.01
  • Journal Name: PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.81-87
  • Keywords: extended eigenvalue, extended eigenvector, alpha-Duhamel product, starlike region, Frechet space, inner derivation operator, EXTENDED EIGENVALUES, EIGENVECTORS
  • Süleyman Demirel University Affiliated: Yes

Abstract

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).