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Differentiation of Operator Functions and Perturbation Bounds

✍ Scribed by Rajendra Bhatia; Dinesh Singh; Kalyan B. Sinha

Publisher: Springer
Year: 1998
Tongue: English
Weight: 101 KB
Volume: 191
Category: Article
ISSN: 0010-3616
DOI: 10.1007/s002200050279

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An improvement of a perturbation theory lemma by M. M. Skriganov which gives an upper bound to the shift of eigenvalues is presented along with other related theorems. These results are also compared with Temple's inequality and the generalized Temple's inequality. Applications to spectral theory of