Malaysian Journal of Mathematical Sciences, May 2018, Vol. 12, No. 2
Properties of Slant Toeplitz Operators on the Torus
Datt, G. and Ohri, N.
Corresponding Email: gopal.d.sati@gmail.com
Received date: 31 July 2017
Accepted date: 28 March 2018
Abstract:
This paper is an attempt to study various structural and spectral properties of the class of slant Toeplitz operators on the Lebesgue space of
the torus. The paper discusses hyponormality and isometric behaviour of these operators along with the study of their adjoint. Spectral radius formula for these operators is derived and it is proved that the spectrum of slant Toeplitz operators induced by invertible symbols contains a closed disk.
Keywords: Toeplitz operator, slant Toeplitz operator, hyponormal operator, weighted composition operator, Laurent operator
