Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space

الملخص EN

The generalized numerical index of a Banach space is introduced, and its properties on certain Banach spaces are studied.

Ed-dari's theorem on the numerical index is extended to the generalized index and polynomial numerical index of a Banach space.

The denseness of numerical strong peak holomorphic functions is also studied.