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On certain automorphisms of sets of partial isometries

✍ Scribed by L. Molnár

Publisher
Springer
Year
2002
Tongue
English
Weight
85 KB
Volume
78
Category
Article
ISSN
0003-889X

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Unitary extensions of partial isometries
Unitary extensions of partial isometries
✍ Nieves Amoretti; Marisela Domínguez 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 139 KB

If S (n ,m ) (n ,m )≥(0, 0) is a multiplicative family of partial isometries on Z 2 with the lexicographic order, then S (1, 0) and S (0, 1) commute in a certain weak sense. Let A and B be commuting unitary extensions of S (1, 0) and S (0, 1) . We give a sufficient condition for A n B m (n ,m )∈Z 2