Using a Diagonalization Theorem obtained when the spectrum is Lipschitzian, we extend a result of G. Braatvedt on scalar characterization in Banach algebras to Banach-Jordan algebras. We also establish that any element of a semisimple Banach-Jordan algebra with the property that all elements in some neighbourhood of the identity are spectrally invariant under multiplication by the quadratic U operator, has analogs with the identity.
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 26 Haziran 2018 |
Gönderilme Tarihi | 28 Şubat 2018 |
Kabul Tarihi | 6 Nisan 2018 |
Yayımlandığı Sayı | Yıl 2018 Cilt: 1 Sayı: 2 |
Universal Journal of Mathematics and Applications
The published articles in UJMA are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.