Some applications of Banach algebra techniques
MATHEMATISCHE NACHRICHTEN, cilt.284, sa.13, ss.1678-1689, 2011 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 284 Sayı: 13
- Basım Tarihi: 2011
- Doi Numarası: 10.1002/mana.200910129
- Dergi Adı: MATHEMATISCHE NACHRICHTEN
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1678-1689
- Anahtar Kelimeler: Banach algebra, generator, Duhamel product, convolution, integration operator, extended eigenvector, EXTENDED EIGENVALUES, DUHAMEL PRODUCT, SOBOLEV SPACES, WIENER ALGEBRA, OPERATORS, EIGENVECTORS, SUBSPACES
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
We consider some functional Banach algebras with multiplications as the usual convolution product * and the so-called Duhamel product circle star. We study the structure of generators of the Banach algebras (C-(n) [0, 1], *) and (C-(n) [0, 1], circle star). We also use the Banach algebra techniques in the calculation of spectral multiplicities and extended eigenvectors of some operators. Moreover, we give in terms of extended eigenvectors a new characterization of a special class of composition operators acting in the Lebesgue space L-p [0, 1] by the formula (C-phi f) (x) = f (phi (x)). (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim