ملخص
The Toeplitz-Hausdorff Theorem which was established in 1918 asserts that the numerical range of an operator is always convex. We prove this theorem for the numerical range of a linear relation relative to another linear relation. We also show that the closure of this numerical range contains the relative spectrum for these two linear relations. The classical results for a single linear relation can be deduced from the results obtained here.
اللغة الأصلية | English |
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الصفحات (من إلى) | 1637-1645 |
عدد الصفحات | 9 |
دورية | International Journal of Mathematics and Computer Science |
مستوى الصوت | 16 |
رقم الإصدار | 4 |
حالة النشر | Published - 2021 |
ASJC Scopus subject areas
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