Öz
Kaynakça
- [1] J. Agler and M. Stankus, m-isometric transformations of Hilbert space. I, Integral Equations Operator Theory 21, 383–429, 1995.
Öz
Drawing from recent advancements in the study of m-isometric and n-symmetric
completely positive operators on Hilbert spaces, this paper introduces the concept of (m; n)-
isosymmetric multivariable operators. This new class of operators serves as a generalization of
both m-isometric and n-isosymmetric multioperators. We explore the fundamental properties of
these operators, demonstrating that if R 2 B(d)(H) is an (m:n)-isosymmetric multioperator and
Q 2 B(d)(H) is a q-nilpotent multioperators, then the sum R + Q is an (m + 2q 2; n + 2q 2)-
isosymmetric multioperator under appropriate conditions. Additionally, we present results concerning
the joint approximate spectrum of (m; n)-isosymmetric multioperators.
Anahtar Kelimeler
Hilbert space m-isometry n-isosymmetric (m; n)-isosymmetric.
Kaynakça
- [1] J. Agler and M. Stankus, m-isometric transformations of Hilbert space. I, Integral Equations Operator Theory 21, 383–429, 1995.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Operatör Cebirleri ve Fonksiyonel Analiz |
| Bölüm | Matematik |
| Yazarlar | |
| Erken Görünüm Tarihi | 24 Haziran 2025 |
| Yayımlanma Tarihi | |
| Gönderilme Tarihi | 12 Aralık 2024 |
| Kabul Tarihi | 10 Mayıs 2025 |
| Yayımlandığı Sayı | Yıl 2025 Erken Görünüm |