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On a Connection Between the Numerical Range and Spectrum of an Operator on a Hilbert Space

✍ Scribed by Sims, B.


Book ID
120096936
Publisher
Oxford University Press
Year
1974
Tongue
English
Weight
85 KB
Volume
s2-8
Category
Article
ISSN
0024-6107

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Abrtract. Sufficient conditions are given such that the product T1T2 of two unbounded operators in Hilbert spaces is essentially selfadjoint and that the nonzero numbers in the essential spectrum of the closure of TlT2 coincide with the nonzero numbers in the essential spectrum of T2T1. If the essen