Geodesic
Decomposability of Krein space operators
Filomat, Tome 34 (2020) no. 9, p. 3119

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DOI

In this paper, we review some properties in the local spectral theory and various subclasses of decomposable operators. We prove that every Krein space selfadjoint operator having property (β) is decomposable, and clarify the relation between decomposability and property (β) for J-selfadjoint operators. We prove the equivalence of these properties for J-selfadjoint operators T and T * by using their local spectra and local spectral subspaces.
DOI : 10.2298/FIL2009119A
Classification : 47A11, 47A25, 47B50
Keywords: Krein space operator, Single valued extension property, property (β), Dunford’s property (C), decomposable, strongly decomposable, quasi-decomposable, analytically decomposable 
Il Ju An; Jaeseong Heo. Decomposability of Krein space operators. Filomat, Tome 34 (2020) no. 9, p. 3119 . doi: 10.2298/FIL2009119A
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     author = {Il Ju An and Jaeseong Heo},
     title = {Decomposability of {Krein} space operators},
     journal = {Filomat},
     pages = {3119 },
     year = {2020},
     volume = {34},
     number = {9},
     doi = {10.2298/FIL2009119A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2009119A/}
}
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