Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 33 Issue 1
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- Pages.29-33
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- 1996
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
On a clary theorem
Abstract
In this paper we shall generalize a Clary theorem by using the local spectral theory; If $ T \in L(H)$ has property $(\beta)$ and A is any operator such that $A \prec T$, then $\sigma(T) \subseteq \sigma(A)$.