k-*Paranormal, k-Quasi-*paranormal and (n, k)- Quasi-*paranormal Composite Multiplication Operator on ⌊2-spaces
S. Senthil
Department of Mathematics, Vickram College of Engineering, Enathi, Tamilnadu, India.
P. Thangaraju *
Department of Mathematics, Saraswathi Narayanan College, Madurai, Tamilnadu, India.
D. C. Kumar
Department of Mathematics, Vickram College of Engineering, Enathi, Tamilnadu, India.
*Author to whom correspondence should be addressed.
Abstract
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 Radon-Nikodym derivative .
Keywords: k-*paranormal, k-quasi-*paranormal, (n,k) -quasi-*paranormal, conditional expectation, composition operator, multiplication operator and composite multiplication operator.