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| Title: | UNITARY EXTENSIONS OF TWO-PARAMETER LOCAL SEMIGROUPS OF ISOMETRIC OPERATORS AND THE KREIN EXTENSION THEOREM |
| Authors: | Bruzual, Ramón |
| Keywords: | extension
unitary group |
| Issue Date: | 1993 |
| Publisher: | Integral equations and operator theory. |
| Series/Report no.: | ;10 |
| Abstract: | A notion of two-parameter local semigroups of isometric operators in Hilbert space is discussed. It is shown that under certain conditions such a semigroup can be extended to a strongly continuous two-parameter group of unitary operators in a larger Hilbert space. As an application a simple proof of the Eskin bidimensional version of the Krein extension theorem is given. |
| URI: | http://hdl.handle.net/10872/5227 |
| ISSN: | 0378-620X |
| Appears in Collections: | Artículos Publicados
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