Operators on Lorentz sequence spaces. (English) Zbl 1211.47027

Arora, S. C.; Datt, Gopal; Verma, Satish

Math. Bohem. 134, No. 1, 87-98 (2009).

Summary: A description of multiplication operators generated by a sequence and composition operators induced by a partition on Lorentz sequence spaces \(l(p,q)\), \(1<p \leq \infty \), \(1\leq q \leq \infty \), is presented.

MSC:

47B33	Linear composition operators
47B38	Linear operators on function spaces (general)
46E30	Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Keywords:

composition operator; distribution function; Fredholm operator; Lorentz space