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A remark on mixedL 2/L bounds

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Abstract

This note shows that the Dym-Gohberg maximal entropy solution to the Nehari problem also satisfies a particularL 2 bound. Using this bound we give a simple proof of the Kaftal-Larson-WeissL 2/L Nehari interpolation theorem.

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References

  1. H. Dym and I. Gohberg, “A maximum entropy principle for contractive interpolants,”J. Functional Analysis, 65, (1986), pp. 83–125.

    Google Scholar 

  2. Dym, H. and I. Gohberg, “A new class of contractive interpolants and maximum entropy principles,”in Topics and in Operator Theory and Interpolation; Operator Theory Advances and Applications, 29, Ed. I. Gohberg (1988), pp. 117–150.

  3. Foias, C. and A. E. Frazho,The Commutant Lifting Approach to Interpolation Problems, Birkhauser-Verlag, Basel, 1990.

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  4. Foias, C. and A. E. Frazho, Commutant lifting and simultaneousH andL 2 suboptimization, submitted for publication.

  5. Gohberg, I. Kaashoek, M. A. and H. J. Woerdeman, “The band method for positive and strictly contractive extension problems: An alternative version and new applicants,”Integral Equations and Operator Theory, 12, (1989), pp. 343–382.

    Google Scholar 

  6. Kaftal, V. Larson, D. and G. Weiss, “Quasitriangular subalgebras of semifinite von Neumann algebras are closed,”J. Functional Analysis, to appear.

  7. Mustafa, D. and K. Glover,Minimum Entropy H Control, Lecture Notes in Control and Information Sciences, 146, Springer-Verlag, New York, 1990.

    Google Scholar 

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Frazho, A.E., Rotea, M.A. A remark on mixedL 2/L bounds. Integr equ oper theory 15, 343–348 (1992). https://doi.org/10.1007/BF01204242

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  • DOI: https://doi.org/10.1007/BF01204242

MSC 1991

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