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On roots of normal operators

✍ Scribed by Heydar Radjavi; Peter Rosenthal


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
558 KB
Volume
34
Category
Article
ISSN
0022-247X

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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-