Geodesic
An observation about pseudospectra
Filomat, Tome 35 (2021) no. 3, p. 995

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DOI

For ε > 0 and a bounded linear operator T acting on some Hilbert space, the ε-pseudospectrum of T is σ ε (T) = {z ∈ C : (zI − T) −1 > ε −1 }. This note provides a characterization of those operators T satisfying σ ε (T) = σ(T) + B(0, ε) for all ε > 0. Here B(0, ε) = {z ∈ C : |z| ε}. In particular, such operators on finite dimensional spaces must be normal
DOI : 10.2298/FIL2103995J
Classification : 47A10, 47B20
Keywords: Pseudospectrum, spectrum, normal approximate eigenvalues, von Neumann operators 
Boting Jia; Youling Feng. An observation about pseudospectra. Filomat, Tome 35 (2021) no. 3, p. 995 . doi: 10.2298/FIL2103995J
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     author = {Boting Jia and Youling Feng},
     title = {An observation about pseudospectra},
     journal = {Filomat},
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     year = {2021},
     volume = {35},
     number = {3},
     doi = {10.2298/FIL2103995J},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103995J/}
}
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