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Numerical Range

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Numerical Range

Part of the book series: Universitext ((UTX))

Abstract

Quadratic forms and their use in linear algebra are quite well known. A natural extension of these ideas in finite- and infinite-dimensional spaces leads us to the numerical range.

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Notes and References

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Notes and References for Section 1.6

  • F. Bauer (1962). “On the Field of Values Subordinate to a Norm,” Numerische Math. 4, 103–111.

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  • F. Bonsall and J. Duncan (1980). “Numerical Ranges,” in Studies in Math- ematics 21, ed. R. G. Bartle, Mathematical Association of America, 1–49.

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  • E. Zarantonello (1967). “The Closure of the Numerical Range Contains the Spectrum,” Pacific J. Math. 22, 575–595.

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  • H. Brezis (1973). Operateurs Maximaux Monotones et Semi-groups de Contractions dans les Espaces de Hilbert, North Holland, Amsterdam.

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  • V. Barbu (1976). Nonlinear Semigroups and Differential Equations in Ba-nach Spaces, Editura Academie, Bucharest, Rumania.

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  • I. Miyadera (1992). Nonlinear Semigroups, Amer. Math. Soc., Providence, R. I.

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© 1997 Springer-Verlag New York, Inc.

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Gustafson, K.E., Rao, D.K.M. (1997). Numerical Range. In: Numerical Range. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8498-4_1

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  • DOI: https://doi.org/10.1007/978-1-4613-8498-4_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94835-5

  • Online ISBN: 978-1-4613-8498-4

  • eBook Packages: Springer Book Archive

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