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Norm inequalities for some singular integral operators
Title:  Norm inequalities for some singular integral operators 
Authors:  Nakazi, T. Browse this author 
Keywords:  Singular integral operator  norm  analytic operator algebra  lifting theorem 
Issue Date:  1Nov1999 
Journal Title:  Hokkaido University Preprint Series in Mathematics 
Volume:  474 
Start Page:  1 
End Page:  13 
Abstract:  Let B be a von Neumann algebra and Pa selfdjoint projection. For A and B in B, set S A,B = AP + BQ where Q = I  P. The operator S A,B will be called a singular integral operator. When B = L00(T) where LQ(.'(T) is the usual Lebesgue space on the unit circle and Pis an analytic projection, in [6] we established formulae for norms of SA,B and (SA,B)1• In this paper, if A= {D E B : PDP = D} and (B, A, P) has a lifting property, then we will establish formulae of norms of S A,B and ( S A,B )1. These formulae are operator theoretic and different from the previous ones. There are several examples such that (B, A, P) has a lifting property. As result, we give several interesting inequalities. 
Type:  bulletin (article) 
URI:  http://hdl.handle.net/2115/69224 
Appears in Collections:  理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用
