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Hokkaido University Preprint Series in Mathematics >
Norm of a linear combination of two operators of a Hilbert space
| Title: | Norm of a linear combination of two operators of a Hilbert space |
| Authors: | Nakazi, T. Browse this author | | Yamamoto, T. Browse this author |
| Keywords: | Operator norm | | Angle | | Hilbert space | | Idempotent operator |
| Issue Date: | Aug-2001 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 537 |
| Start Page: | 1 |
| End Page: | 16 |
| Abstract: | Let a, (J, 1, () be complex numbers such that ;fJ =J 0. If A and B arc bounded linear operators on the Hilbert space H such that 1A + fJB is right invertible then we study the operator norm of (aA + /JB)bA + fJB)-1 using the angle (p between two subspaces ran A and ran B or the angle 'J = 'J(A, B) between two operators A and B where c:os'J(A,B) = sup{l(Af,Bf)I / (IIA.fll · IIB.fll); f EH, Af =J 0, Bf =JO}. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69286 |
| 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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