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Operator factorization on partially ordered Hilbert resolution spaces

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Abstract

The classical study of factorization of operators along a linearly ordered chain of orthoprojectors is extended to the more general context of partially ordered chains. With this extension the factorization theory becomes relevant to stochastic approximation, filtering and control of multidimensional systems.

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References

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Authors and Affiliations

  1. Department of Electrical Engineering, Ecole Polytechnique de Montreal, Montreal, Canada

    Romano M. DeSantis

  2. Department of Electrical and Computer Engineering, Louisiana State University, Baton Rouge, Louisiana, USA

    William A. Porter

Authors
  1. Romano M. DeSantis
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  2. William A. Porter
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Additional information

Sponsored in part under NSF grant 78/8871, AFOSR grant 78-3500 and Canadian Research Council grant CNRC-A-8244.

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DeSantis, R.M., Porter, W.A. Operator factorization on partially ordered Hilbert resolution spaces. Math. Systems Theory 16, 67–77 (1983). https://doi.org/10.1007/BF01744570

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  • DOI: https://doi.org/10.1007/BF01744570

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