New upper bounds for the q-numerical radius of Hilbert space operators
Abstract
This article introduces several new upper bounds for the q-numerical radius of bounded linear operators on complex Hilbert spaces. Our results refine some of the existing upper bounds in this field. The q-numerical radius inequalities of products and commutators of operators follow as special cases. Finally, some new inequalities for the q-numerical radius of 2 × 2 operator matrices are established.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.