Geodesic
Elementary properties of [∞,C]-symmetric operators
Filomat, Tome 37 (2023) no. 30, p. 10145

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DOI

Inspired by recent works on [m]-complex symmetric operator, we introduce the class of [∞,C]-symmetric operators and study various properties of this class. We study the quasi-nilpotent perturbations of [∞,C]-symmetric operator. Also, we prove that the class of [∞,C]-symmetric operators is norm closed. Finally, we characterize when product of [∞,C]-symmetric operators is also [∞,C]-symmetric operator.
DOI : 10.2298/FIL2330145S
Classification : 47B20, 47A10
Keywords: [∞, C]-symmetric operator, Perturbation, Product 
Junli Shen; Yayi Yuan; Alatancang Chen. Elementary properties of [∞,C]-symmetric operators. Filomat, Tome 37 (2023) no. 30, p. 10145 . doi: 10.2298/FIL2330145S
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     author = {Junli Shen and Yayi Yuan and Alatancang Chen},
     title = {Elementary properties of {[\ensuremath{\infty},C]-symmetric} operators},
     journal = {Filomat},
     pages = {10145 },
     year = {2023},
     volume = {37},
     number = {30},
     doi = {10.2298/FIL2330145S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2330145S/}
}
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