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Norm equality for a basic elementary operator

✍ Scribed by Mohamed Barraa; Mohamed Boumazgour


Book ID
108345205
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
149 KB
Volume
286
Category
Article
ISSN
0022-247X

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There is one to one correspondence between positive operator monotone functions on (0, w) and operator connections. For a symmetric connection a, it is proved that the map X --+ (AaX)aΒ±(BaX) from positive operators on a Hilbert space to itself, has a unique fixed point. Here a Β± denotes the dual of