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Hokkaido University Preprint Series in Mathematics >
Generalized Numerical Radius And Unitary p-Dilation
| Title: | Generalized Numerical Radius And Unitary p-Dilation |
| Authors: | Nakazi, T. Browse this author | | Okubo, K. Browse this author |
| Keywords: | numerical radius | | norm | | p-dilation |
| Issue Date: | 1-Apr-1998 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 408 |
| Start Page: | 1 |
| End Page: | 12 |
| Abstract: | In this paper, we,study an operator A on a Hilbert space H which satisfies one of the following inequalities For some ,\ with O ::; ,\ ::; 1 l(Ay, y)I ::; AIIYll2 + (1 - ,\)IIAYll2 (y EH) or AIIAYll2 + (1 - ,\)l(Ay, y)I ::; IIYll2 (y EH). These two inequalities can be regarded as special cases of generalized numerical ranges. If A has a p-dilation with p > 0, then it satisfies one of them. We show that the operator radii wp(A) of A are calculated using l(Ay,y)I and IIAYII- Several applications are given. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69158 |
| 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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