International Journal of Creative Research and Studies
Volume 3 Issue 6, June-2019
Title: Further Remarks on the Numerical Range of λ-Commuting Operators
Author: Arthur Wafula & Jairus M. Khalagai
Abstract: Let B(H) denote the Banach Algebra of all Bounded operators on a Complex Hilbert Space H. We consider operators A, B ∈ B(H) satisfying the property that AB =λBA , λ ∈ C, AB ≠ 0 and show that if A and B are self-ad joint then the numerical ranges of AB and BA are either real or pure imaginary and deduce related results.
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IJCRS DESCRIPTION
ISSN:0249-4655
Publisher:Knowledge-Ridge Publishers
Area/Scope:Business Economics and Management ;Social Science, Literature, Arts and Humanities; Engineering and Technology; Life Science and Physical Science; Health and Medical Science
Frequency: Monthly
Format:Online & Print
Language:English
Review-Process:Double Blinded
•Access: Open Access
