Open AccessThe Composition operator on hardy space H2 Induced by ?(z)=sz+t where , and
Author(s) -
Baghdad Science Journal
Publication year - 2010
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.7.3.1275-1281
Subject(s) - composition (language) , hardy space , operator (biology) , mathematics , normality , space (punctuation) , composition operator , multiplication operator , pure mathematics , function (biology) , biology , computer science , genetics , statistics , linguistics , philosophy , repressor , hilbert space , transcription factor , gene , operating system
We study in this paper the composition operator of induced by the function ?(z)=sz+t where , and We characterize the normal composition operator C? on Hardy space H2 and other related classes of operators. In addition to that we study the essential normality of C? and give some other partial results which are new to the best of our knowledge.