Abstract
We prove a local convex version of Arveson’s extension theorem and of Wittstock’s extension theorem. Also, we prove a Stinespring type theorem for unbounded local completely contractive maps.
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Acknowledgements
This work was partially supported by a grant of the Ministry of Research, Innovation and Digitization, CNCS/CCCDI–UEFISCDI, project number PN-III-P4-ID-PCE-2020-0458, within PNCDI III.
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Communicated by Mohammad B. Asadi.
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Joiţa, M. Unbounded Local Completely Contractive Maps. Bull. Iran. Math. Soc. 48, 4015–4028 (2022). https://doi.org/10.1007/s41980-022-00735-7
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DOI: https://doi.org/10.1007/s41980-022-00735-7
Keywords
- Locally C*-algebras
- Quantized domains in Hilbert spaces
- Unbounded local completely positive maps
- Unbounded local contractive maps