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Therefore quasisimilar hyponormal operators have equal essential spectra.
As application, we describe the essential spectra of weighted shift operators.
Using this result we establish that quasisimilar -quasihyponormal operators have equal spectra and essential spectra.
Moreover, we prove some localization results on the essential spectra of bounded operators on Banach space.
As the application of the obtained results, we describe the essential spectra of weighted shift operators.
We prove that quasisimilar subdecomposable operators have equal spectra and quasisimilar subdecomposable operators without eigenvalues have equal essential spectra.
Similar(43)
We use for the spectrum of for Wolf essential spectrum, for Schechter essential spectrum, and for approximate point spectrum.
In this section, we investigate the Wolf essential spectrum of.
Hence, the essential spectrum of the operator (mathcal{J}) equals the essential spectrum of the operator N̂ (see [25], p. 136).
By [6] the essential spectrum of the minimal operator generated by T is [ 0, ∞ ) and this is the same as the essential spectrum of T, see [10].
We are interested in the essential spectrum and the discrete spectrum.
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