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Hokkaido University Preprint Series in Mathematics >
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: | 1-Nov-1999 |
| Publisher: | Department of Mathematics, Hokkaido University |
| 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
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Submitter: 数学紀要登録作業用
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