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Completely positive compact operators on non-commutative symmetric spaces

✍ Scribed by P. G. Dodds; B. de Pagter


Publisher
Springer
Year
2010
Tongue
English
Weight
222 KB
Volume
14
Category
Article
ISSN
1385-1292

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Canonical Operator Space Structures on N
✍ Francesco Fidaleo πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 249 KB

We analyze canonical operator space structures on the non-commutative L p spaces L p ' (M; ., |) constructed by interpolation a la Stein Weiss based on two normal semifinite faithful weights ., | on a W\*-algebra M. We show that there is only one canonical (i.e. arising by interpolation) operator sp