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Shorted operators and the structure of operators with numerical radius one

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Abstract

The theory of the shorted operator is used to prove that if w(T)≤1, then T can be written in the form T=2(I-C*C)1/2C. Using this form, Ando has exhibited a matricial form for a unitary 2-dilation of T.

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References

  1. W. N. Anderson and G. E. Trapp, Shorted operators, II, SIAM J. Appl. Math. 28 (1975), 60–71.

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Authors and Affiliations

  1. Department of Mathematics, The University of Kansas, 66045, Lawrence, Kansas

    John W. Bunce

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  1. John W. Bunce
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Bunce, J.W. Shorted operators and the structure of operators with numerical radius one. Integr equ oper theory 11, 287–291 (1988). https://doi.org/10.1007/BF01272123

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  • DOI: https://doi.org/10.1007/BF01272123

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