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Positive-definite functions on discrete commutative semigroups: Errata and supplements

✍ Scribed by Toma V. Tonev

Book ID
110560370
Publisher
Springer
Year
1986
Tongue
English
Weight
41 KB
Volume
34
Category
Article
ISSN
0037-1912

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πŸ“œ SIMILAR VOLUMES

Extensions of Operator Valued Positive D
Extensions of Operator Valued Positive Definite Functions and Commutant Lifting on Ordered Groups
✍ RamΓ³n Bruzual; Marisela Domı́nguez πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 158 KB

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 the Local Operator Commutation Relati
On the Local Operator Commutation Relations and Extensions of Locally Defined Positive Definite Functions on the Heisenberg Group
✍ RamΓ³n Bruzual; Marisela Domı́nguez πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 92 KB

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