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STRUCTURAL AND SPECTRAL PROPERTIES OF k-QUASI-*-PARANORMAL OPERATORS
ZUO, FEI,ZUO, HONGLIANG The Kangwon-Kyungki Mathematical Society 2015 한국수학논문집 Vol.23 No.2
For a positive integer k, an operator T is said to be k-quasi-*-paranormal if ${\parallel}T^{k+2}x{\parallel}{\parallel}T^kx{\parallel}{\geq}{\parallel}T^*T^kx{\parallel}^2$ for all x $\in$ H, which is a generalization of *-paranormal operator. In this paper, we give a necessary and sufficient condition for T to be a k-quasi-*-paranormal operator. We also prove that the spectrum is continuous on the class of all k-quasi-*-paranormal operators.
Finite Operators and Weyl Type Theorems for Quasi-*-n-Paranormal Operators
ZUO, FEI,YAN, WEI Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.4
In this paper, we mainly obtain the following assertions: (1) If T is a quasi-*-n-paranormal operator, then T is finite and simply polaroid. (2) If T or $T^*$ is a quasi-*-n-paranormal operator, then Weyl's theorem holds for f(T), where f is an analytic function on ${\sigma}(T)$ and is not constant on each connected component of the open set U containing ${\sigma}(T)$. (3) If E is the Riesz idempotent for a nonzero isolated point ${\lambda}$ of the spectrum of a quasi-*-n-paranormal operator, then E is self-adjoint and $EH=N(T-{\lambda})=N(T-{\lambda})^*$.
( Fei-meng Zheng ),( Wang-bing Chen ),( Tao Qin ),( Li-na Lv ),( Bi Feng ),( Yan-ling Lu ),( Zuo-quan Li ),( Xiao-chao Wang ),( Li-ju Tao ),( Hong-wen Li ),( Shu-you Li ) 생화학분자생물학회(구 한국생화학분자생물학회) 2019 BMB Reports Vol.52 No.9
Lymphoma is one of the most curable types of cancer. However, drug resistance is the main challenge faced in lymphoma treatment. Peroxisomal acyl-CoA oxidase 1 (ACOX1) is the rate-limiting enzyme in fatty acid β-oxidation. Deregulation of ACOX1 has been linked to peroxisomal disorders and carcinogenesis in the liver. Currently, there is no information about the function of ACOX1 in lymphoma. In this study, we found that upregulation of ACOX1 promoted proliferation in lymphoma cells, while downregulation of ACOX1 inhibited proliferation and induced apoptosis. Additionally, overexpression of ACOX1 increased resistance to doxorubicin, while suppression of ACOX1 expression markedly potentiated doxorubicin-induced apoptosis. Interestingly, downregulation of ACOX1 promoted mitochondrial location of Bad, reduced mitochondrial membrane potential and provoked apoptosis by activating caspase-9 and caspase-3 related apoptotic pathway. Overexpression of ACOX1 alleviated doxorubicin-induced activation of caspase-9 and caspase-3 and decrease of mitochondrial membrane potential. Importantly, downregulation of ACOX1 increased p73, but not p53, expression. p73 expression was critical for apoptosis induction induced by ACOX1 downregulation. Also, overexpression of ACOX1 significantly reduced stability of p73 protein thereby reducing p73 expression. Thus, our study indicated that suppression of ACOX1 could be a novel and effective approach for treatment of lymphoma. [BMB Reports 2019; 52(9): 566-571]
Cheng Fei,Zheng Chenggong,Liu Yunfei,Zuo Wenjie,Wang Xinzhe,Guo Guikai 한국자동차공학회 2021 International journal of automotive technology Vol.22 No.5
We developed a new method for the design of carbon-fiber reinforced plastic (CFRP)-laminated structures, which combined the asymptotic homogenization method and ply optimization. The equivalent mechanical properties of a single-layer CFRP were calculated using the asymptotic homogenization method. The ply optimization of the laminated structures was divided into three parts: an initial free-size optimization to identify the optimal ply shapes and locations of patches per ply orientation; an optimization of the final size to identify the optimal thicknesses of each ply; and an optimization of the final ply stacking sequence to obtain the optimal stacking sequence. Using the example of the floor of a body-in-white model, our method provided a reasonable optimization result with reduced mass by 60 %. The proposed method provides an efficient way to investigate laminated structures and has potential for lightweight design and analysis of automobile components.
Wu, Fei,Zhao, Zuo-Hui,Ding, Sen-Tai,Wu, Hai-Hu,Lu, Jia-Ju Asian Pacific Journal of Cancer Prevention 2013 Asian Pacific journal of cancer prevention Vol.14 No.10
Background: The high mobility group box 1 (HMGB1) protein is a widespread nuclear protein present in most cell types. It typically locates in the nucleus and functions as a nuclear cofactor in transcription regulation. However, HMGB1 can also localize in the cytoplasm and be released into extracellular matrix, where it plays critical roles in carcinogenesis and inflammation. However, it remains elusive whether HMGB1 is relocated to cytoplasm in clear cell renal cell carcinoma (ccRCC). Methods: Nuclear and cytoplasmic proteins were extracted by different protocols from 20 ccRCC samples and corresponding adjacent renal tissues. Western blotting and immunohistochemistry were used to identify the expression of HMGB1 in ccRCC. To elucidate the potential mechanism of HMGB1 cytoplasmic translocation, HMGB1 proteins were enriched by immunoprecipitation and analyzed by mass spectrometry (MS). Results: The HMGB1 protein was overexpressed and partially localized in cytoplasm in ccRCC samples (12/20, 60%, p<0.05). Immunohistochemistry results indicated that ccRCC of high nuclear grade possess more HMGB1 relocation than those with low grade (p<0.05). Methylation of HMGB1 at lysine 112 in ccRCC was detected by MS. Bioinformatics analysis showed that post-translational modification might affect the binding ability to DNA and mediate its translocation. Conclusion: Relocation of HMGB1 to cytoplasm was confirmed in ccRCC. Methylation of HMGB1 at lysine 112 might the redistribution of this cofactor protein.
ANALYTIC EXTENSIONS OF M-HYPONORMAL OPERATORS
MECHERI, SALAH,ZUO, FEI Korean Mathematical Society 2016 대한수학회지 Vol.53 No.1
In this paper, we introduce the class of analytic extensions of M-hyponormal operators and we study various properties of this class. We also use a special Sobolev space to show that every analytic extension of an M-hyponormal operator T is subscalar of order 2k + 2. Finally we obtain that an analytic extension of an M-hyponormal operator satisfies Weyl's theorem.
Analytic extensions of $M$-hyponormal operators
Salah Mecheri,Fei Zuo 대한수학회 2016 대한수학회지 Vol.53 No.1
In this paper, we introduce the class of analytic extensions of $M$-hyponormal operators and we study various properties of this class. We also use a special Sobolev space to show that every analytic extension of an $M$-hyponormal operator $T$ is subscalar of order $2k+2$. Finally we obtain that an analytic extension of an $M$-hyponormal operator satisfies Weyl's theorem.
SPECTRAL PROPERTIES OF k-QUASI-2-ISOMETRIC OPERATORS
Junli Shen,Fei Zuo 한국수학교육학회 2015 純粹 및 應用數學 Vol.22 No.3
Let T be a bounded linear operator on a complex Hilbert space H. For a positive integer k, an operator T is said to be a k-quasi-2-isometric operator if T^{*k}(T^{*2}T^{2}-2T^{*}T+I)T^{k}=0, which is a generalization of 2-isometric operator. In this paper, we consider basic structural properties of k-quasi-2-isometric operators. Moreover, we give some examples of k-quasi-2-isometric operators. Finally, we prove that generalized Weyl's theorem holds for polynomially k-quasi-2-isometric operators