On the growth of the spectral measure (Q1365265)
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scientific article; zbMATH DE number 1054252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the growth of the spectral measure |
scientific article; zbMATH DE number 1054252 |
Statements
On the growth of the spectral measure (English)
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13 April 1998
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Let \(L_1\) and \(L_2\) be two ``close'' linear selfadjoint operators acting in the same separable Hilbert space \(H\). By using comparison techniques, the author shows that the eigenfunctionals of \(L_2\) are close to the eigenfunctionals of \(L_1\) if and only if \(d\Gamma _1 = d\Gamma _2\) as \(\lambda \longrightarrow \infty.\)
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linear selfadjoint operators
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eigenfunctionals
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