Report
On positive decompositions and proper splittings of Hermitian operators
| العنوان: | On positive decompositions and proper splittings of Hermitian operators |
|---|---|
| المؤلفون: | Fongi, Guillermina, Gonzalez, María Celeste |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, 47A05, 47B02, 47B15 |
| الوصف: | In this article we study different aspects of Hermitian operators applying the concept of positive decompositions. On the one hand, we characterize the positivity of an Hermitian operator by means of a norm condition where the factors of certain pseudo polar decomposition of the operator, are involved. On the other hand, we relate the concept of positive orthogonal decomposition of Hermitian operators to the notion of proper splittings of operators. Furthermore, we present a sufficient condition for the convergence of proper splittings for general bounded linear operators on Hilbert spaces. Comment: 15 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2412.20906 |
| رقم الانضمام: | edsarx.2412.20906 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |