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Minimal isometric dilations of operator cocycles

✍ Scribed by B. V. Rajarama Bhat


Publisher
SP Birkhäuser Verlag Basel
Year
2002
Tongue
English
Weight
838 KB
Volume
42
Category
Article
ISSN
0378-620X

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Dilations and Commutant Lifting for Join
✍ K.R.M. Attele; A.R. Lubin 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 423 KB

A tuple of commuting contractions T=(T 1 , T 2 , ..., T n ) is called a joint-isometry if T\* j T j =I. We give a geometric proof that joint isometries have a regular unitary dilation and that its commutant lifts. We also show that T is subnormal and that its minimal normal extension is also jointly