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Essential normality of some classes of operators in tensor products of Hilbert spaces

✍ Scribed by V. O. Livinskii

Book ID
112471086
Publisher
Springer
Year
1994
Tongue
English
Weight
417 KB
Volume
46
Category
Article
ISSN
0041-5995

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Norm estimates for functions of two operators on tensor products of Hilbert spaces
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## Abstract Analytic operator valued functions of two operators on tensor products of Hilbert spaces are considered. A precise norm estimate is established. Applications to operator differential equations are also discussed. (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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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