Bulletin of the Australian Mathematical Society

Research Article

Composition operators on Lorentz spaces

S. C. Aroraa1, Gopal Datta2 and Satish Vermaa3

a1 Department of Mathematics, University of Delhi, Delhi-110007, India e-mail: scarora@maths.du.ac.in

a2 Department of Mathematics, SGTB Khalsa College University of Delhi, Delhi-110007, India e-mail: vermas@maths.du.ac.in

a3 Department of Mathematics, PGDAV College, University of Delhi Delhi-110065 India e-mail gopaldatt@maths.du.ac.in

Fredholm, injective, isometric and surjective composition operators on Lorentz spaces L(p, q) are characterised in this paper.

(Received November 30 2006)