A matrix formulation of quantum stochastic calculus

We develop the theory of chaos spaces and chaos matrices. A chaos space is a Hilbert space with a fixed, countably-infinite, direct-sum decomposition. A chaos matrix between two chaos spaces is a doubly-infinite matrix of bounded operators which respects this decomposition. We study operators repres...

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Bibliographic Details
Main Author: Belton, A
Format: Thesis
Published: University of Oxford;Mathematical Institute 1998