It is proved that if a group of unitary operators and a local semigroup of isometries satisfy the Weyl commutation relations then they can be extended to groups of unitary operators which also satisfy the commutation relations. As an application a result about the extension of a class of locally def
✦ LIBER ✦
Extension of Locally Defined Indefinite Functions on Ordered Groups
✍ Scribed by Ramón Bruzual; Marisela Domínguez
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2004
- Tongue
- English
- Weight
- 305 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0378-620X
No coin nor oath required. For personal study only.
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Extensions of Operator Valued Positive D
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Let 0 be a locally compact abelian ordered group. We say that 0 has the extension property if every operator valued continuous positive definite function on an interval of 0 has a positive definite extension to the whole group and we say that 0 has the commutant lifting property if a natural extensi
On a separation property of positive def
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⚖ 179 KB