JMB14 (Abstract)

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. 

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