On generalized numerical ranges of operators on an indefinite inner product space

• Author(s): Bebiano, N. ; Lemos, R. ; Providência, J. da ; Soares, G.
• Date: 2003
• Persistent ID: http://hdl.handle.net/10316/11439
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Numerical range; Generalized numerical range; Indefi nite inner product space
• Document Type: Preprint
• Language: English

Description

In this paper, numerical ranges associated to operators on an inde nite inner product space are investigated. Boundary generating curves, corners, shapes and computer generations of these sets are studied. In particular, the Murnaghan- Kippenhahn theorem for the classical numerical range is generalized.