On the Invariant Subspaces of the Fractional Integral Operator
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, cilt.16, sa.2, 2021 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 16 Sayı: 2
- Basım Tarihi: 2021
- Dergi Adı: APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Anahtar Kelimeler: Riemann-Liouville fractional integration operator, Invariant subspaces, Lattice, Unicellularity, Duhamel product, EXTENDED EIGENVECTORS, SPACE, EIGENVALUES
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In operator theory, there is an important problem called the invariant subspace problem. This important problem of mathematics has been clear for more than half a century. However, the solution seems to be nowhere in sight. With this motivation, we investigate the invariant subspaces of the fractional integral operator in the Banach space with certain conditions in this paper. Also, by using the Duhamel product method, unicellularity of the fractional integral operator on some space is obtained and the description of the invariant subspaces is given.