MATHEMATICA BOHEMICA, Vol. 134, No. 1, pp. 87-98, 2009

Operators on Lorentz sequence spaces

S. C. Arora, Gopal Datt, Satish Verma

S. C. Arora, Department of Mathematics, University of Delhi, Delhi-110007, India, e-mail: scaroradu@gmail.com; Gopal Datt, Department of Mathematics, PGDAV College, University of Delhi, Delhi-110065, India, e-mail: gopal.d.sati@ gmail.com; Satish Verma, Department of Mathematics, SGTB Khalsa College, University of Delhi, Delhi-110007, India, e-mail: vermas@maths.du.ac.in

Abstract: Description of multiplication operators generated by a sequence and composition operators induced by a partition on Lorentz sequence spaces $l(p,q)$, $1<p \le\infty$, $1\le q \le\infty$ is presented.

Keywords: composition operator, distribution function, Fredholm operator, Lorentz space, Lorentz sequence space, multiplication operator, non-increasing rearrangement

Classification (MSC 2000): 47B33, 47B38, 46E30


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