The essential spectrum, norm, and spectral radius of abstract multiplication operators
Let EE be a complex Banach lattice and TT is an operator in the center Z(E)={T:∣T∣≤λIfor someλ}Z\left(E)=\left\{T:| T| \le \lambda I\hspace{0.33em}\hspace{0.1em}\text{for some}\hspace{0.1em}\hspace{0.33em}\lambda \right\} of EE. Then, the essential norm ‖T‖e\Vert T{\Vert }_{e} of TT equals the essen...
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-03-01
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| Series: | Concrete Operators |
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| Online Access: | https://doi.org/10.1515/conop-2022-0141 |