Numerical ranges and complex symmetric operators in semi-inner-product spaces

Abstract We introduce the numerical range of a bounded linear operator on a semi-inner-product space. We compute the numerical ranges of some operators on ℓ 2 p ( C ) $\ell _{2}^{p}(\mathbb{C})$ ( 1 ≤ p < ∞ ) $(1\le p < \infty )$ and show that the numerical range of the backward shift on an in...

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Bibliographic Details
Main Authors: Il Ju An, Jaeseong Heo
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-022-02886-x