D. C. Kumar

k-*Paranormal, k-Quasi-*paranormal and (n, k)- Quasi-*paranormal Composite Multiplication Operator on ⌊2-spaces

S. Senthil, P. Thangaraju & D. C. Kumar · Journal of Advances in Mathematics and Computer Science · 2015

An operator , is said to be -quasi-*paranormal if  for every x in [1]. In this paper, the conditions under which composite multiplication operator becomes k-*paranormal operator, k-quasi-*paranormal operator and (n,k) -quasi-*paranormal operator, have been obtained in terms of Ra...

Open access Research Article 10.9734/BJMCS/2015/20166

n-Normal and n-Quasi-normal Composite Multiplication Operator on L2 -Spaces

S. Senthil, P. Thangaraju & D. C. Kumar · Journal of Scientific Research and Reports · 2015

An operator A is called n-normal operator if AnA* =A*An and n-quasi-normal operator if AnA*A =A*AAn . In this paper we characterize the essential isometry, essential co-isometry n-normal and n-quasi-normal composite multiplication operator on L2 -Spaces under certain conditions.

Open access Research Article 10.9734/JSRR/2015/18661