On the approximation of identity in additive-invariant Banach function spaces

Authors

• Azerbaijan State Oil and Industry University, Baku, Azerbaijan
• Migdad I. Ismailov
• Chinara M. Gasanova
• Ganja State University, Ganja, Azerbaijan

Page

163-170

Abstract

Analog of Korovkin type theorem for the sequence of convolution operators in the subspaces of additive-invariant Banach spaces generated by the shift operator is obtained in this work. Convergence to the identity of the sequence of convolution operators with a positive approximate identity is proved. We also prove the convergence to the identity of Steklov operators in Marcinkiewicz spaces.

Recommended Citation

Azerbaijan State Oil and Industry University, Baku, Azerbaijan; I. Ismailov, Migdad; M. Gasanova, Chinara; and Ganja State University, Ganja, Azerbaijan (2025) "On the approximation of identity in additive-invariant Banach function spaces," Baku Mathematical Journal: Vol. 4: Iss. 2, Article 3.
DOI: 10.32010/j.bmj.2025.12
Available at: https://www.bakumathj.org/home/vol4/iss2/3