• Journal of the Korean Mathematical Society
• /
• v.35 no.1
• /
• pp.237-257
• /
• 1998

By introducing the notion of a generalized normal state space, we give a necessary and sufficient condition for that there exists a unital normal completely map from a von Neumann algebra into another, in terms of their generalized normal state spaces.

• Journal of the Korean Mathematical Society
• /
• v.50 no.1
• /
• pp.61-80
• /
• 2013

In this paper, we study ${\alpha}$-completely positive maps between locally $C^*$-algebras. As a generalization of a completely positive map, an ${\alpha}$-completely positive map produces a Krein space with indefinite metric, which is useful for the study of massless or gauge fields. We construct a KSGNS type representation associated to an ${\alpha}$-completely positive map of a locally $C^*$-algebra on a Krein locally $C^*$-module. Using this construction, we establish the Radon-Nikod$\acute{y}$m type theorem for ${\alpha}$-completely positive maps on locally $C^*$-algebras. As an application, we study an extremal problem in the partially ordered cone of ${\alpha}$-completely positive maps on a locally $C^*$-algebra.

• East Asian mathematical journal
• /
• v.4
• /
• pp.117-127
• /
• 1988

• Honam Mathematical Journal
• /
• v.5 no.1
• /
• pp.171-176
• /
• 1983

• Bulletin of the Korean Mathematical Society
• /
• v.59 no.3
• /
• pp.659-669
• /
• 2022

In this paper we introduce the notion of universal free product for operator systems and operator spaces, and prove extension results for the operator system lifting property (OSLP) and operator system local lifting property (OSLLP) to the universal free product.

• Molecules and Cells
• /
• v.38 no.3
• /
• pp.279-284
• /
• 2015

Obatoclax, a pan-Bcl2 inhibitor, shows antitumor activities in various solid malignancies. Bcl2-deficient mice have shown the importance of Bcl2 in osteoclasts, as the bone mass of the mice was increased by the induced apoptosis of osteoclasts. Despite the importance of Bcl2, the effects of obatoclax on the proliferation and differentiation of osteoclast precursors have not been studied extensively. Here, we describe the anti-proliferative effects of obatoclax on osteoclast precursors and its negative role on fusion of the cells. Stimulation with low doses of obatoclax significantly suppressed the proliferation of osteoclast precursors in a dose-dependent manner while the apoptosis was markedly increased. Its stimulation was sufficient to block the activation of ERK MAP kinase by RANKL. The same was true when PD98059, an ERK inhibitor, was administered to osteoclast precursors. The activation of JNK1/2 and p38 MAP kinase, necessary for osteoclast differentiation, by RANKL was not affected by obatoclax. Interestingly, whereas the number of TRAP-positive mononuclear cells was increased by both obatoclax and PD98059, fused, multinucleated cells larger than $100{\pm}m$ in diameter containing more than 20 nuclei were completely reduced. Consistently, obatoclax failed to regulate the expression of osteoclast marker genes, including c-Fos, TRAP, RANK and CtsK. Instead, the expression of DC-STAMP and Atp6v0d2, genes that regulate osteoclast fusion, by RANKL was significantly abrogated by both obatoclax and PD98059. Taken together, these results suggest that obatoclax down-regulates the proliferation and fusion of osteoclast precursors through the inhibition of the ERK1/2 MAP kinase pathway.

• Bulletin of the Korean Mathematical Society
• /
• v.23 no.2
• /
• pp.167-170
• /
• 1986

Let M be a von Neumann algebra and .alpha., .betha. be *-automorphisms of M satisfying the operator equation .alpha.+.alpha.$^{-1}$ =.betha.+.betha.$^{-1}$ This operator equation has been extensively studied and many important decomposition theorems have been obtained by several authors (for instance see [4], [5], [2], [1]). Originally, this operator equation arose in the paper of Van Daele on the new approach of the Tomita-Takesaki theory in the case of modular operators ([7]). In the case of one-parameter automorphism groups, this equation has produced a bounded and completely positive map which can play a role similar to the infinitesimal generator (for details see [6] and [1]). A recent and one of the most important applications of this equation has been in developing an anglogue of the Tomita-Takesaki theory for Jordan algebras by Haagerup [3]. One general result of this theory is the following.

• Molecules and Cells
• /
• v.40 no.5
• /
• pp.371-377
• /
• 2017

Despite the importance of the receptor activator of nuclear factor (NF)-kappaB ligand (RANKL)-RANK signaling mechanisms on osteoclast differentiation, little has been studied on how RANK expression is regulated or what regulates its expression during osteoclastogenesis. We show here that insulin signaling increases RANK expression, thus enhancing osteoclast differentiation by RANKL. Insulin stimulation induced RANK gene expression in time- and dose-dependent manners and insulin receptor shRNA completely abolished RANK expression induced by insulin in bone marrow-derived monocyte/macrophage cells (BMMs). Moreover, the addition of insulin in the presence of RANKL promoted RANK expression. The ability of insulin to regulate RANK expression depends on extracellular signal-regulated kinase 1/2 (ERK1/2) since only PD98059, an ERK1/2 inhibitor, specifically inhibited its expression by insulin. However, the RANK expression by RANKL was blocked by all three mitogen-activated protein (MAP) kinases inhibitors. The activation of RANK increased differentiation of BMMs into tartrate-resistant acid phosphatase-positive ($TRAP^+$) osteoclasts as well as the expression of dendritic cell-specific transmembrane protein (DC-STAMP) and d2 isoform of vacuolar ($H^+$) ATPase (v-ATPase) Vo domain (Atp6v0d2), genes critical for osteoclastic cell-cell fusion. Collectively, these results suggest that insulin induces RANK expression via ERK1/2, which contributes to the enhancement of osteoclast differentiation.

• Journal of fish pathology
• /
• v.6 no.2
• /
• pp.103-110
• /
• 1993

Total genomic DNA library of Serratia marcescens was prepared by inserting Sau3AI partial digesting fragments(above 5 kb) into the dephosphorylated BamHl site of pUC19. In primary screening, two colonies were selected by observing the halo around E. coli transformants grown on the swollen colloidal chitin media. Secondary screening was performed by soaking two colonies with a few drops of 4-methylumbelleliferryl N-acetyl-$\beta$-D-glucocosaminide(4-MuNGlcNAc). As 4-MuNGlcNAc is a specific, fluorogenic substrate for chitinase, the positive clones produce light fluorescence by the exposure under the long wave U.V. light(360 nm). From genomic DNA library derived from pUC19, we have isolated two different chitinase clones, pCH1(11.0Kb) and pCH2(7.5Kb), which show completely different restriction map to each other. The cross-hybridization of pCH1EA and pCH2 have not revealed any hybridization signals to each other.

• Journal of Veterinary Clinics
• /
• v.37 no.3
• /
• pp.145-148
• /
• 2020

A 9-years old spayed female Maltese was referred for the treatment of mass on the right 1^st mammary gland and acute weight bearing lameness of right hindlimb. It was diagnosed as malignant mammary tumor and cranial cruciate ligament rupture of right stifle joint. Right upper regional mastectomy followed by cranial closing wedge osteotomy (CCWO) of the right tibia were planned for the present problems. Preanesthetic work-up did not show any remarkable abnormalities. Forty-five minutes after induction of anesthesia dobutamine was administered at a rate of 5 ㎍/kg/min by constant rate infusion due to gradual decrease of blood pressure below MAP 60 mmHg during surgical procedure. Despite of the increase of dobutamine infusion rate up to 20 ㎍/kg/min, blood pressure didn't recover. At the end of regional mastectomy generalized skin redness and eyelid edema were identified. Anesthesia was stopped and CCWO procedure was cancelled. To recover from the anaphylactic reactions dexamethasone and diphenhydramine were administered. After about one hour, the patient completely recovered from hypotension and anaphylactic reactions. After 4 weeks, intradermal skin test (IDST) was performed for all the drugs used during anesthesia. Only dobutamine showed positive reaction in IDST. Therefore, dobutamine was considered as the causative agent of anaphylaxis in this patient during the anesthesia. In case of perioperative anaphylactic reaction, postoperative investigation should be performed to identify causative agent and to provide safe recommendations for future anesthetic procedure.