Integral Equations and Operator Theory

, Volume 53, Issue 4, pp 509–526

Topological Structure of the Space of Weighted Composition Operators on H

Original Paper

DOI: 10.1007/s00020-004-1337-1

Cite this article as:
Hosokawa, T., Izuchi, K. & Ohno, S. Integr. equ. oper. theory (2005) 53: 509. doi:10.1007/s00020-004-1337-1

Abstract.

We study properties of the topological space of weighted composition operators on the space of bounded analytic functions on the open unit disk in the uniform operator topology. Moreover, we characterize the compactness of differences of two weighted composition operators.

Mathematics Subject Classification (2000).

Primary 47B3347B38

Keywords.

Weighted composition operatorBanach algebra of bounded analytic functions

Copyright information

© Birkhäuser Verlag, Basel 2005

Authors and Affiliations

  1. 1.  
  2. 2.Department of MathematicsNiigata UniversityNiigataJapan
  3. 3.Nippon Institute of TechnologyMinami-SaitamaJapan