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WEAK NORMAL PROPERTIES OF PARTIAL ISOMETRIES
Liu, Ting,Men, Yanying,Zhu, Sen Korean Mathematical Society 2019 대한수학회지 Vol.56 No.6
This paper describes when a partial isometry satisfies several weak normal properties. Topics treated include quasi-normality, subnormality, hyponormality, p-hyponormality (p > 0), w-hyponormality, paranormality, normaloidity, spectraloidity, the von Neumann property and Weyl's theorem.
Weak normal properties of partial isometries
Ting Liu,Yanying Men,Sen Zhu 대한수학회 2019 대한수학회지 Vol.56 No.6
This paper describes when a partial isometry satisfies several weak normal properties. Topics treated include quasi-normality, subnormality, hyponormality, $p$-hyponormality ($p>0)$, $w$-hyponormality, paranormality, normaloidity, spectraloidity, the von Neumann property and Weyl's theorem.
Ju Hee Lee,Hye Jin Jeon,Sangsu Seo,Chorong Lee,Bumkeun Kim,Dong-Mi Kwak,Man Hee Rhee,Patharapol Piamsomboon,Yani Lestari Nuraini,Chang Uook Je,Seon Young Park,Ji Hyung Kim,Jee Eun Han The Korean Society for Microbiology and Biotechnol 2024 Journal of microbiology and biotechnology Vol.34 No.5
The increasing economic losses associated with growth retardation caused by Enterocytozoon hepatopenaei (EHP), a microsporidian parasite infecting penaeid shrimp, require effective monitoring. The internal transcribed spacer (ITS)-1 region, the non-coding region of ribosomal clusters between 18S and 5.8S rRNA genes, is widely used in phylogenetic studies due to its high variability. In this study, the ITS-1 region sequence (~600-bp) of EHP was first identified, and primers for a polymerase chain reaction (PCR) assay targeting that sequence were designed. A newly developed nested-PCR method successfully detected the EHP in various shrimp (Penaeus vannamei and P. monodon) and related samples, including water and feces collected from Indonesia, Thailand, South Korea, India, and Malaysia. The primers did not cross-react with other hosts and pathogens, and this PCR assay is more sensitive than existing PCR detection methods targeting the small subunit ribosomal RNA (SSU rRNA) and spore wall protein (SWP) genes. Phylogenetic analysis based on the ITS-1 sequences indicated that the Indonesian strain was distinct (86.2% nucleotide sequence identity) from other strains collected from Thailand and South Korea, and also showed the internal diversity among Thailand (N = 7, divided into four branches) and South Korean (N = 5, divided into two branches) samples. The results revealed the ability of the ITS-1 region to determine the genetic diversity of EHP from different geographical origins.