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Positive definite kernels and Hilbert C*-modules

Published online by Cambridge University Press:  20 January 2009

Gerard J. Murphy
Gerard J. Murphy
Affiliation:
Department of Mathematics, University College, Cork, Ireland
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Abstract

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A theory of positive definite kernels in the context of Hilbert C*-modules is presented. Applications are given, including a representation of a Hilbert C*-module as a concrete space of operators and a construction of the exterior tensor product of two Hilbert C*-modules.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 2 , June 1997 , pp. 367 - 374
Copyright
Copyright © Edinburgh Mathematical Society 1997

References

REFERENCES

1. Evans, D. E. and Lewis, J. T., Dilations of Irreversible Evolutions in Algebraic Quantum Theory (Comm. DIAS, Series A, no. 24, Dublin, 1977).Google Scholar
2. Lance, E. C., Hilbert C*-modules. (Cambridge University Press, Cambridge, 1995).CrossRefGoogle Scholar