Geodesic
On the topological boundary of the one-sided spectrum
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 3, pp. 561-568

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It is well-known that the topological boundary of the spectrum of an operator is contained in the approximate point spectrum. We show that the one-sided version of this result is not true. This gives also a negative answer to a problem of Schmoeger.
Classification : 47A10 
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     author = {M\"uller, Vladim{\'\i}r},
     title = {On the topological boundary of the one-sided spectrum},
     journal = {Czechoslovak Mathematical Journal},
     pages = {561--568},
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     volume = {49},
     number = {3},
     year = {1999},
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     zbl = {1008.47003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_1999__49_3_a8/}
}
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Müller, Vladimír. On the topological boundary of the one-sided spectrum. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 3, pp. 561-568. http://geodesic.mathdoc.fr/item/CMJ_1999__49_3_a8/