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Numerical ranges of an operator on an indefinite inner product space

Authors :
Nam-Kiu Tsing
Frank Uhlig
Chi-Kwong Li
Source :
The Electronic Journal of Linear Algebra. 1
Publication Year :
1996
Publisher :
University of Wyoming Libraries, 1996.

Abstract

For n n complex matrices A and an n n Hermitian matrix S, we consider the S-numerical range of A and the positive S-numerical range of A de ned by WS(A) = hAv; viS hv; viS : v 2 I Cn; hv; viS 6= 0

Subjects

Subjects :
Inner product space
Energetic space
Pure mathematics
Algebra and Number Theory
Indefinite inner product space
Operator (physics)
Mathematical analysis
Indefinite sum
Numerical range
Hermitian matrix
Convexity
Mathematics

Details

ISSN :
10813810
Volume :
1
Database :
OpenAIRE
Journal :
The Electronic Journal of Linear Algebra
Accession number :
edsair.doi...........f12fa7a32fb606215ab230fdfd37fb79
Full Text :
https://doi.org/10.13001/1081-3810.1000
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