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Operators Similar to Contractions and Their Similarity to a Normal Operator | Stanislav Kupin
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10 Nov 2001 | Subject: | Spectral Theory; Classical Analysis and ODEs MSC-class: 47B15, 47B44 | math.SP math.CA | Abstract: | It is proved recently by Benamara-Nikolski that a contraction having finite defects and spectrum not filling in the closed unit disc, is similar to a normal operator if and only if it has the so-called linear resolvent growth property. We obtain results of the same type for a wider (than contractions) class of operators. | Source: | arXiv, math.SP/0111125 | Services: | Forum | Review | PDF | Favorites |
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