DUHAMEL BANACH ALGEBRA STRUCTURE OF SOME SPACE AND RELATED TOPICS

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Altıntaş M., GÜRDAL M., Tapdigoglu R.

Publications de l'Institut Mathematique, vol.112, no.126, pp.83-93, 2022 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 112 Issue: 126
  • Publication Date: 2022
  • Doi Number: 10.2298/pim2226083a
  • Journal Name: Publications de l'Institut Mathematique
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Central & Eastern European Academic Source (CEEAS), MathSciNet, zbMATH
  • Page Numbers: pp.83-93
  • Keywords: alpha-Duhamel product, Banach algebra, alpha-integration operator, maxi-mal ideal space, extended eigenvector, invariant subspace, EXTENDED EIGENVALUES, INVARIANT SUBSPACES, OPERATORS, EIGENVECTORS, INTEGRATION
  • Süleyman Demirel University Affiliated: Yes

Abstract

© 2022, Publications de l''Institut Mathematique. All Rights Reserved.Let α be a fixed complex number, and let Ω be a simply connected region in complex plane ℂ that is starlike with respect to (Formula Presented). We define some Banach space of analytic functions on Ω and prove that it is a Banach algebra with respect to the α-Duhamel product defined by