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Functional Analysis of Tensor Spaces by Jose Hasbani is a document available to read on EtoBox.

This document discusses functional analysis of tensor spaces. It introduces algebraic tensor spaces for finite dimensional cases and topological tensor spaces which require introduction of a topology, even for finite dimensional approximation problems. Standard examples of infinite dimensional tensor spaces are function spaces since multivariate functions can be regarded as tensor products of univariate ones. To obtain a Banach tensor space, the completion requires a norm which is not fixed by the generatin

Author

Jose Hasbani

Language

EN