A note on the maximal numerical range of operators for a sesquilinear form

In this paper, we investigate the concept of maximal numerical range of operators relative to a sesquilinear form which generalizes the classical maximal numerical range of operators in Hilbert spaces and we show some structural properties of these sets.

• sesquilinear forms
• operators
• generalized numerical range
• Hilbert spaces

• Holomorphic and Operator Theory
• Advanced Banach Space Theory
• Mathematical Inequalities and Applications
• sesquilinear forms
• operators
• generalized numerical range
• Hilbert spaces
• Applied Mathematics
• Mathematical Physics
• Mathematics