Academic Journal
c © Copyright by Theta, 2004 LOCAL SPECTRAL PROPERTIES OF WEIGHTED SHIFTS
| العنوان: | c © Copyright by Theta, 2004 LOCAL SPECTRAL PROPERTIES OF WEIGHTED SHIFTS |
|---|---|
| المؤلفون: | T. L. Miller, V. G. Miller, M. M. Neumann, Communicated Florian-horia Vasilescu |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://www.theta.ro/jot/archive/2004-051-001/2004-051-001-005.pdf. |
| المجموعة: | CiteSeerX |
| مصطلحات موضوعية: | Weighted shifts, decomposable operators, generalized scalar op- erators, Bishop’s property (β |
| الوصف: | For a large class of operators on Banach spaces, a natural growth condition is shown to guarantee Bishop’s property (β). For weighted shifts, this result leads to a sufficient condition in terms of the underlying weight se-quence. In the opposite direction, it is shown that every unilateral weighted shift with property (β) has fat local spectra and approximate point spec-trum a circle, while bilateral weighted shifts with property (β) have either fat local spectra or spectrum a circle. A useful new tool is the inner local spectral radius, a counterpart of the standard (outer) local spectral radius. For weighted shifts with Dunford’s property (C), both the inner and outer spectral radii turn out to be constant. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.512.490; http://www.theta.ro/jot/archive/2004-051-001/2004-051-001-005.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.512.490 http://www.theta.ro/jot/archive/2004-051-001/2004-051-001-005.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.74F66648 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |