Numerical Range of Two Operators in Semi-Inner Product Spaces
In this paper, the numerical range for two operators (both linear and nonlinear) have been studied in semi-inner product spaces. The inclusion relations between numerical range, approximate point spectrum, compression spectrum, eigenspectrum, and spectrum have been established for two linear operato...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/846396 |
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| Summary: | In this paper, the numerical range for two operators (both linear and nonlinear) have
been studied in semi-inner product spaces. The inclusion relations between numerical
range, approximate point spectrum, compression spectrum, eigenspectrum, and spectrum
have been established for two linear operators. We also show the inclusion relation between
approximate point spectrum and closure of the numerical range for two nonlinear
operators. An approximation method for solving the operator equation involving two
nonlinear operators is also established. |
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| ISSN: | 1085-3375 1687-0409 |