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Normality and the Higher Numerical Range

Published online by Cambridge University Press:  20 November 2018

Marvin Marcus ,
Benjamin N. Moyls  and
Ivan Filippenko
Marvin Marcus
Affiliation:
University of California, Santa Barbara, California
Benjamin N. Moyls
Affiliation:
University of California, Santa Barbara, California
Ivan Filippenko
Affiliation:
University of California, Santa Barbara, California
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Let Mn(C) be the vector space of all w-square complex matrices. Denote by (• , •) the standard inner product in the space Cn of complex n-tuples. For a matrix A ∈ Mn(C) and an n-tuple c = (c1,… , cn) ∈ Cn, define the c-numerical range of A to be the set

(1)

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 2 , 01 April 1978 , pp. 419 - 430
Copyright
Copyright © Canadian Mathematical Society 1978

References

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