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On unbounded composition operators in L^2-spaces |
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| Authors: | Piotr Budzyński Zenon Jan Jabłoński Il Bong Jung Jan Stochel |
| Institution: | 1. Katedra Zastosowań Matematyki, Uniwersytet Rolniczy w Krakowie, ul. Balicka 253c, 30198, Kraków, Poland 2. Instytut Matematyki, Uniwersytet Jagielloński, ul. ?ojasiewicza 6, 30348, Kraków, Poland 3. Department of Mathematics, Kyungpook National University, Daegu, 702-701, Korea |
| Abstract: | Fundamental properties of unbounded composition operators in \(L^2\) -spaces are studied. Characterizations of normal and quasinormal composition operators are provided. Formally normal composition operators are shown to be normal. Composition operators generating Stieltjes moment sequences are completely characterized. The unbounded counterparts of the celebrated Lambert’s characterizations of subnormality of bounded composition operators are shown to be false. Various illustrative examples are supplied. |
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