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Resolvent norm decay does not characterize norm continuity

✍ Scribed by Tamás Mátrai


Book ID
107529116
Publisher
The Hebrew University Magnes Press
Year
2008
Tongue
English
Weight
257 KB
Volume
168
Category
Article
ISSN
0021-2172

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An alternating projection that does not
✍ Hein S. Hundal 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 310 KB

This paper proves that the method of alternating projections between two closed convex intersecting sets does not always converge in norm. Weak convergence was established by Bregman (Soviet Math. Dokl. 6 (1965) 688), but the status of norm convergence was undetermined. An explicit counterexample is