On the domains of generalized operators |
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Authors: | George Svetlichny |
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Institution: | (1) Departmento de Matemática, Pontifícia Universidade Católica, Rio de Janeiro, Brasil |
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Abstract: | The domains of generalized operatorsT: –![rarr](/content/g0238641kuj52671/xxlarge8594.gif) + on rigged Hilbert spaces – H + are investigated. We introduce an equivalence relation for operators with different domains. Arguments are given for taking + to be the weak quasi-completion of – and for – to be Mackey quasi-complete. For domains of closed symmetric Hilbert space operators we give a representation for + and provide certain elements in the equivalence class of the corresponding operator. |
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