Research Article
On A Class Of Convexoid Type Operators
Luis Berbesi, Teodoro Lara*, Pedro Pena, Edgar Rosales
Departamento De FiSica Y Matematicas, Universidad De Los Andes, Trujillo, Venezuela.
Abstract
In this research we introduce a class of convexoid type operators, the so called analytically convexoid operators, de fined on Hilbert spaces. Consequences and examples of this de nition are exhibited; spectrum of this class consisting of one single point is studied in detail.
Key words: Numerical range, Nilpotent operator, Convexoid operator, Complex Hilbert space, Completely reduced operator.