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Autumn 2017 On skew $[m,C]$-symmetric operators
Muneo Chō, Biljana Načevska-Nastovska, Jun Tomiyama
Adv. Oper. Theory 2(4): 468-474 (Autumn 2017). DOI: 10.22034/aot.1703-1147

Abstract

In this paper, first we characterize the spectra of skew $[m,C]$-symmetric operators and we also prove that if operators $T$ and $S$ are $C$-doubly commuting operators, $T$ is a skew $[m,C]$-symmetric operator and $Q$ is an $n$-nilpotent operator, then $T+Q$ is a skew $[m+2n-2,C]$-symmetric operator. Finally, we show that if $T$ is skew $[m,C]$-symmetric and $S$ is $[n,D]$-symmetric, then $T \otimes S$ is skew $[m+n-1, C \otimes D]$-symmetric.

Citation

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Muneo Chō. Biljana Načevska-Nastovska. Jun Tomiyama. "On skew $[m,C]$-symmetric operators." Adv. Oper. Theory 2 (4) 468 - 474, Autumn 2017. https://doi.org/10.22034/aot.1703-1147

Information

Received: 31 March 2017; Accepted: 8 July 2017; Published: Autumn 2017
First available in Project Euclid: 4 December 2017

zbMATH: 06804222
MathSciNet: MR3730041
Digital Object Identifier: 10.22034/aot.1703-1147

Subjects:
Primary: 47A11
Secondary: 47B25, 47B99

Rights: Copyright © 2017 Tusi Mathematical Research Group

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Vol.2 • No. 4 • Autumn 2017
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