Geodesic
On extended commuting operators
Filomat, Tome 35 (2021) no. 3, p. 883

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In this paper, we study properties of extended commuting operators. In particular, we provide the polar decomposition of the product of (λ, µ)-commuting operators where λ and µ are real numbers with λµ > 0. Furthermore, we find the restriction of µ for the product of (λ, µ)-commuting quasihyponormal operators to be quasihyponormal. We also give spectral and local spectral relations between λ-commuting operators. Moreover, we show that the operators λ-commuting with a unilateral shift are representable as weighted composition operators
DOI : 10.2298/FIL2103883J
Classification : 47A10, 47A11, 47B20
Keywords: λ-commuting operators, (λ, µ)-commuting operators, polar decomposition, quasihyponormal operators 
Sungeun Jung; Hyoungji Kim; Eungil Ko. On extended commuting operators. Filomat, Tome 35 (2021) no. 3, p. 883 . doi: 10.2298/FIL2103883J
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     author = {Sungeun Jung and Hyoungji Kim and Eungil Ko},
     title = {On extended commuting operators},
     journal = {Filomat},
     pages = {883 },
     year = {2021},
     volume = {35},
     number = {3},
     doi = {10.2298/FIL2103883J},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103883J/}
}
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