Numerical Range on Weighted Hardy Spaces as Semi Inner Product Spaces

Abstract

The semi-inner product, in the sense of Lumer, on weighted Hardy space which generate the norm is unique. Also we will discuss some properties of the numerical range of bounded linear operators on weighted Hardy spaces.

Keywords

• weighted hardy space
• semi-inner product
• numerical range
• primary 30h10
• secondary 47b37
• 47a12