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Extracting square roots of Bergmann operators

✍ Scribed by O. Loos

Publisher
Springer
Year
2001
Tongue
English
Weight
191 KB
Volume
77
Category
Article
ISSN
0003-889X

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In this paper, we study some properties of ( √ SH ), i.e., square roots of semihyponormal operators. In particular we show that an operator T ∈ ( √ SH ) has a scalar extension, i.e., is similar to the restriction to an invariant subspace of a (generalized) scalar operator (in the sense of ColojoarΘƒ-