Titlebook: Numerical Range; The Field of Values Karl E. Gustafson,Duggirala K. M. Rao Book 1997 Springer Science+Business Media New York 1997 Eigenva

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Numerical Range,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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Operator Classes,The special properties of the numerical range of normal operators led to the creation of new operator classes. In particular, three classes of operators attracted a lot of attention. Each of these inherits one or more of the numerical range properties of the normal operator.

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Operator Trigonometry, call an ., whose theory and applications are still evolving. Its properties are intimately associated with the numerical range .(.) and are described in this chapter. Some applications will be described in the next chapter.

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https://doi.org/10.1007/978-1-4613-8498-4Eigenvalue; Hilbert space; analytic function; functional analysis; operator; stability

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