Geodesic
On the B-discrete spectrum
Filomat, Tome 34 (2020) no. 8, p. 2541

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DOI

In this paper, we introduce the B-discrete spectrum of an unbounded closed operator and we prove that a closed operator has a purely B-discrete spectrum if and only if it has a meromorphic resolvent. After that, we study the stability of the B-discrete spectrum under several type of perturbations and we establish that two closed invertible linear operators having quasisimilar totally paranormal inverses have equal spectra and B-discrete spectra.
DOI : 10.2298/FIL2008541B
Classification : 47A10, 47A53
Keywords: B-discrete, meromorphic, perturbation, hereditarily normaloid 
M Berkani. On the B-discrete spectrum. Filomat, Tome 34 (2020) no. 8, p. 2541 . doi: 10.2298/FIL2008541B
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     title = {On the {B-discrete} spectrum},
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     year = {2020},
     volume = {34},
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     doi = {10.2298/FIL2008541B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2008541B/}
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