Abstract
We continue the study of dilation of a tuple. Now, we have a contractive tuple. The dilation theory involves the full Fock space in the non-commuting case and the symmetric Fock space in the commuting case. Hence these spaces along with their creation operators are studied. Then, we apply Stinespring’s dilation theorem developed in Chapter 2 to construct dilations. The structure of the dilation tuples are thoroughly decoded.
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Bhat, B.R., Bhattacharyya, T. (2023). Dilation Theory in Several Variables—The Euclidean Ball. In: Dilations, Completely Positive Maps and Geometry. Texts and Readings in Mathematics, vol 84. Springer, Singapore. https://doi.org/10.1007/978-981-99-8352-0_4
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