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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) vol.32 no.4 Antofagasta dic. 2013

http://dx.doi.org/10.4067/S0716-09172013000400002 

 

Multiplication and Composition operators on ωp (f )

 

Kuldip Raj, Sunil K. Sharma,Seema Jamwal
Shri Mata Vaishno Devi University, India


ABSTRACT

In this paper we characterize the boundedness, closed range, in-vertibility of the multiplication operators acting on sequence spaces wp(f) defined by a modulus function. We also make an efforts to study some properties of composition operators on these spaces.

Subjclass [2000] : Primary 47B20, Secondary 47B38.

Keywords : Modulus function, multiplication operator, composition operator, closed range, invertibility.


 

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Kuldip Raj
School of Mathematics
Shri Mata Vaishno Devi University
Katra-182320, J&K
India
e-mail : kuldipraj68@gmail.com

 

Sunil K. Sharma
School of Mathematics
Shri Mata Vaishno Devi University
Katra-182320, J&K
India
e-mail : sunilksharma42@yahoo.co.in

 

Seema Jamwal
School of Mathematics
Shri Mata Vaishno Devi University
Katra-182320, J&K
India
e-mail : seemajamwal8@gmail.com

Received : June 2012. Accepted : October 2013.

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