Abstract
We give a definition of к-indefinite Toeplitz-Kreįn-Cotlar triplet of Archimedean type, on an interval of an ordered group G with an Archimedean point. We show that if a group G has the indefinite extension property, then every к-indefinite Toeplitz-Kreįn-Cotlar triplet of Archimedean type on an interval of г, can be extended to a Toeplitz-Kreįn-Cotlar triplet on the whole group г, with the same number of negative squares к.
Both authors were supported in part by the CDCH of the Universidad Central de Venezuela.
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Communicated by J.A. Ball.
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Bruzual, R., Domínguez, M. (2010). On Extensions of Indefinite Toeplitz-Kreįn-Cotlar triplets. In: Topics in Operator Theory. Operator Theory: Advances and Applications, vol 202. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0158-0_4
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DOI: https://doi.org/10.1007/978-3-0346-0158-0_4
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