The compactness of the sum of weighted composition operators on the ball algebra

Abstract

Abstract In this paper, we investigate the compactness of the sum of weighted composition operators on the unit ball algebra, and give the characterization of compact differences of two weighted composition operators on the ball algebra. The connectness of the topological space consisting of non-zero weighted composition operators on the unit ball algebra is also studied. 2000 Mathematics Subject Classification. Primary: 47B33; Secondary: 47B38, 46E15, 32A36.

Keywords

• Weighted composition operator
• Ball algebra
• Sum
• Difference
• Inequality