Geodesic
Spectral mapping theorem and Weyl's theorem for (m, n)-paranormal operators
Filomat, Tome 35 (2021) no. 10, p. 3293

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DOI

In the present paper, we prove spectral mapping theorem for (m, n)-paranormal operator T on a separable Hilbert space, that is, f (σ w (T)) = σ w (f (T)) when f is an analytic function on some open neighborhood of σ(T). We also show that for (m, n)-paranormal operator T, Weyl's theorem holds, that is, σ(T) − σ w (T) = π 00 (T). Moreover, if T is algebraically (m, n)-paranormal, then spectral mapping theorem and Weyl's theorem hold
DOI : 10.2298/FIL2110293D
Classification : 47A10, 47B20
Keywords: (m, n)-paranormal operator, Riesz idempotent, Weyl spectrum, Weyl’s theorem, Spectral mapping theorem 
Preeti Dharmarha; Sonu Ram. Spectral mapping theorem and Weyl's theorem for (m, n)-paranormal operators. Filomat, Tome 35 (2021) no. 10, p. 3293 . doi: 10.2298/FIL2110293D
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     author = {Preeti Dharmarha and Sonu Ram},
     title = {Spectral mapping theorem and {Weyl's} theorem for (m, n)-paranormal operators},
     journal = {Filomat},
     pages = {3293 },
     year = {2021},
     volume = {35},
     number = {10},
     doi = {10.2298/FIL2110293D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2110293D/}
}
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