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An Introduction to Hilbert Module Approach to Multivariable Operator Theory

Small book cover: An Introduction to Hilbert Module Approach to Multivariable Operator Theory

An Introduction to Hilbert Module Approach to Multivariable Operator Theory
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Publisher: arXiv
Number of pages: 52

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This article gives an introduction of Hilbert modules over function algebras and surveys some recent developments. Here the theory of Hilbert modules is presented as combination of commutative algebra, complex geometry and the geometry of Hilbert spaces and its applications to the theory of n-tuples of commuting operators.

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