Embeddings, Operator Ranges, and Dirac Operators

We present a generalized operator range construction associated to an indefinite unbounded selfadjoint operator that yields closed embeddings of Kreĭn spaces. As an application we obtain an energy space representation, in the sense of Friedrichs, of a general free Dirac operator.

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Bibliographic Details
Published in:Complex analysis and operator theory 2011-09, Vol.5 (3), p.941-953
Main Authors: Cojuhari, Petru, Gheondea, Aurelian
Format: Article
Language:English
Subjects:
Analysis
Mathematics
Mathematics and Statistics
Operator Theory
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Description
Summary:We present a generalized operator range construction associated to an indefinite unbounded selfadjoint operator that yields closed embeddings of Kreĭn spaces. As an application we obtain an energy space representation, in the sense of Friedrichs, of a general free Dirac operator.
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-010-0066-5