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The numerical range of a continuous mapping of a normed space

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References

  1. Bauer, F. L.,On the Field of Values Subordinate to a Norm, Numer. Math.4, 103–111 (1962).

    Google Scholar 

  2. Berge, C.,Topological Spaces (The MacMillan Company, New York 1963).

    Google Scholar 

  3. Kelley, J. L., Namioka, I., and co-authors,Linear Topological Spaces (D. van Nostrand Company, New York 1963).

    Google Scholar 

  4. Lumer, G.,Semi-Inner-Product Spaces, Trans. Amer. Math. Soc.100, 29–43 (1961).

    Google Scholar 

  5. Nirschl, N. andSchneider, H.,The Bauer Fields of Values of a Matrix, Numer. Math.6, 355–365 (1964).

    Google Scholar 

  6. Rickart, C. E.,General Theory of Banach Algebras (D. van Nostrand Company, New York 1960).

    Google Scholar 

  7. Stone, M. H.,Linear Transformations in Hilbert Space and Their Applications to Analysis (Amer. Math. Soc., New York 1932 [Col. Publ., Nr. 15]).

    Google Scholar 

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Dedicated to A. Ostrowski on the occasion of his 75th birthday

This research was supported in part by NSF Grant GP-7073.

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Bonsall, F.F., Cain, B.E. & Schneider, H. The numerical range of a continuous mapping of a normed space. Aeq. Math. 2, 86–93 (1969). https://doi.org/10.1007/BF01833492

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