تقرير
Commutativity and Null Spaces of Unbounded Operators on Hilbert Space
العنوان: | Commutativity and Null Spaces of Unbounded Operators on Hilbert Space |
---|---|
المؤلفون: | Kadison, Richard, Levin, Simon, Liu, Zhe |
سنة النشر: | 2023 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Functional Analysis, Mathematics - Operator Algebras |
الوصف: | Based on the success of a well-known method for solving higher order linear differential equations, a study of two of the most important mathematical features of that method, viz. the null spaces and commutativity of the product of unbounded linear operators on a Hilbert space is carried out. A principle is proved describing solutions for the product of such operators in terms of the solutions for each of the factors when the null spaces of those factors satisfy a certain geometric relation to one another. Another geometric principle equating commutativity of a closed densely defined operator and a projection to stability of the range of the projection under the closed operator is proved. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2312.06563 |
رقم الأكسشن: | edsarx.2312.06563 |
قاعدة البيانات: | arXiv |
كن أول من يترك تعليقا!